115364200 has 96 divisors (see below), whose sum is σ = 322747200. Its totient is φ = 37463040.

The previous prime is 115364173. The next prime is 115364213. The reversal of 115364200 is 2463511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24432 + ... + 28768.

It is an arithmetic number, because the mean of its divisors is an integer number (3361950).

Almost surely, 2^115364200 is an apocalyptic number.

115364200 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 115364200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161373600).

115364200 is an abundant number, since it is smaller than the sum of its proper divisors (207383000).

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

115364200 is a wasteful number, since it uses less digits than its factorization.

115364200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 115364200 is about 10740.7727841157. The cubic root of 115364200 is about 486.8072298880.

The spelling of 115364200 in words is "one hundred fifteen million, three hundred sixty-four thousand, two hundred".