| Number: | 116 |
| Divisor: | 1, 2, 4, 29, 58, 116 |
116 (one hundred [and] sixteen) is the natural number following 115 and preceding 117.
116 is a noncototient, meaning that there is no solution to the equation, where stands for Euler's totient function.[1]
116! + 1 is a factorial prime.[2]
There are 116 ternary Lyndon words of length six, and 116 irreducible polynomials of degree six over a three-element field, which form the basis of a free Lie algebra of dimension 116.[3]
There are 116 different ways of partitioning the numbers from 1 through 5 into subsets in such a way that, for every k, the union of the first k subsets is a consecutive sequence of integers.[4]
There are 116 different 6×6 Costas arrays.[5]
116 is the atomic number of livermorium.
Jiroemon Kimura, the oldest man to ever live, died with the age of 116.[6]