It is unknown whether the set of numbers with this property is infinite, but this would follow from the truth of the Bunyakovsky conjecture on polynomials with infinitely many prime values.

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 stamps.

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

is a prime number.

115 is also the fire service emergency number in Mauritius and Italy, and the ambulance emergency number in Vietnam.

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