115117600 has 72 divisors (see below), whose sum is σ = 302675940. Its totient is φ = 42501120.

The previous prime is 115117589. The next prime is 115117603. The reversal of 115117600 is 6711511.

It can be written as a sum of positive squares in 6 ways, for example, as 5035536 + 110082064 = 2244^2 + 10492^2 .

It is not an unprimeable number, because it can be changed into a prime (115117603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4866 + ... + 15934.

Almost surely, 2^115117600 is an apocalyptic number.

115117600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151337970).

115117600 is an abundant number, since it is smaller than the sum of its proper divisors (187558340).

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

115117600 is a wasteful number, since it uses less digits than its factorization.

115117600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11102 (or 11089 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 22.

The square root of 115117600 is about 10729.2870219787. The cubic root of 115117600 is about 486.4601196031.

The spelling of 115117600 in words is "one hundred fifteen million, one hundred seventeen thousand, six hundred".