115031200 has 72 divisors (see below), whose sum is σ = 286223868. Its totient is φ = 45127680.

The previous prime is 115031183. The next prime is 115031201. The reversal of 115031200 is 2130511.

It can be written as a sum of positive squares in 6 ways, for example, as 90706576 + 24324624 = 9524^2 + 4932^2 .

It is not an unprimeable number, because it can be changed into a prime (115031201) 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, 41044 + ... + 43756.

Almost surely, 2^115031200 is an apocalyptic number.

115031200 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 115031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143111934).

115031200 is an abundant number, since it is smaller than the sum of its proper divisors (171192668).

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

115031200 is a wasteful number, since it uses less digits than its factorization.

115031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 115031200 is about 10725.2599036107. The cubic root of 115031200 is about 486.3383870624.

Adding to 115031200 its reverse (2130511), we get a palindrome (117161711).

The spelling of 115031200 in words is "one hundred fifteen million, thirty-one thousand, two hundred".