115116 has 24 divisors (see below), whose sum is σ = 275184. Its totient is φ = 37440.

The previous prime is 115099. The next prime is 115117. The reversal of 115116 is 611511.

It is a junction number, because it is equal to n+sod(n) for n = 115095 and 115104.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115116.

It is not an unprimeable number, because it can be changed into a prime (115117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546 + ... + 726.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2¹¹⁵¹¹⁶ is an apocalyptic number.

It is an amenable number.

115116 is an abundant number, since it is smaller than the sum of its proper divisors (160068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115116 is a wasteful number, since it uses less digits than its factorization.

115116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its digits is 30, while the sum is 15.

The square root of 115116 is about 339.2874887172. The cubic root of 115116 is about 48.6457865850.

Adding to 115116 its reverse (611511), we get a palindrome (726627).

It can be divided in two parts, 115 and 116, that added together give a triangular number (231 = T₂₁).

The spelling of 115116 in words is "one hundred fifteen thousand, one hundred sixteen".