115051200 has 168 divisors, whose sum is σ = 411967680. Its totient is φ = 27878400.

The previous prime is 115051177. The next prime is 115051219. The reversal of 115051200 is 2150511.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 115051200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51711 + ... + 53889.

Almost surely, 2^115051200 is an apocalyptic number.

115051200 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 115051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205983840).

115051200 is an abundant number, since it is smaller than the sum of its proper divisors (296916480).

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

115051200 is a wasteful number, since it uses less digits than its factorization.

115051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 115051200 is about 10726.1922414247. The cubic root of 115051200 is about 486.3665713118.

The spelling of 115051200 in words is "one hundred fifteen million, fifty-one thousand, two hundred".