115 (number)

| ← 114 115 116 → | | | | --- | --- | --- | | ← 114 | 115 | 116 → | | ← 110 111 112 113 114 115 116 117 118 119 → .mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:"\a0 · ";font-weight:bold}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist dd dd:first-child::before,.mw-parser-output .hlist dd dt:first-child::before,.mw-parser-output .hlist dd li:first-child::before,.mw-parser-output .hlist dt dd:first-child::before,.mw-parser-output .hlist dt dt:first-child::before,.mw-parser-output .hlist dt li:first-child::before,.mw-parser-output .hlist li dd:first-child::before,.mw-parser-output .hlist li dt:first-child::before,.mw-parser-output .hlist li li:first-child::before{content:" (";font-weight:normal}.mw-parser-output .hlist dd dd:last-child::after,.mw-parser-output .hlist dd dt:last-child::after,.mw-parser-output .hlist dd li:last-child::after,.mw-parser-output .hlist dt dd:last-child::after,.mw-parser-output .hlist dt dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}List of numbersIntegers← 0 100 200 300 400 500 600 700 800 900 → | | | | one hundred fifteen | | | | 115th(one hundred fifteenth) | | | | 5 × 23 | | | | 1, 5, 23, 115 | | | | ΡΙΕ´ | | | | .mw-parser-output .roman-numeral{font-family:"Nimbus Roman No9 L","Times New Roman",Times,serif;font-size:118%;line-height:1}.mw-parser-output .roman-numeral-a{border:1px solid}.mw-parser-output .roman-numeral-t{border-top:1px solid}.mw-parser-output .roman-numeral-v{border:solid;border-width:0 1px;padding:0 2px}.mw-parser-output .roman-numeral-h{border:solid;border-width:1px 0}.mw-parser-output .roman-numeral-tv{border:1px solid;border-bottom:none;padding:0 2px}CXV, cxv | | | | 11100112 | | | | 110213 | | | | 3116 | | | | 1638 | | | | 9712 | | | | 7316 | | |

115 (one hundred [and] fifteen) is the natural number following 114 and preceding 116.

115 has a square sum of divisors:

σ ( 115 ) = 1 + 5 + 23 + 115 = 144 =

      12
      
        2
      
    
    .
  

{\displaystyle \sigma (115)=1+5+23+115=144=12^{2}.}

There are 115 different rooted trees with exactly eight nodes, 115 inequivalent ways of placing six rooks on a 6 × 6 chess board in such a way that no two of the rooks attack each other, and 115 solutions to the stamp folding problem for a strip of seven rectangular stamps.

115 is also a heptagonal pyramidal number. The 115th Woodall number,

115 ⋅

      2
      
        115
      
    
    −
    1
    =
    4
    
    776
    
    913
    
    109
    
    852
    
    041
    
    418
    
    248
    
    056
    
    622
    
    882
    
    488
    
    319
    ,
  

{\displaystyle 115\cdot 2^{115}-1=4\;776\;913\;109\;852\;041\;418\;248\;056\;622\;882\;488\;319,}

is a prime number. 115 is the sum of the first five heptagonal numbers.

• 115 (disambiguation)