115475600 has 30 divisors (see below), whose sum is σ = 277431090. Its totient is φ = 46190080.

The previous prime is 115475599. The next prime is 115475609. The reversal of 115475600 is 6574511.

It can be written as a sum of positive squares in 3 ways, for example, as 10863616 + 104611984 = 3296^2 + 10228^2 .

It is a super-2 number, since 2×115475600² = 26669228390720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115475609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143945 + ... + 144744.

It is an arithmetic number, because the mean of its divisors is an integer number (9247703).

Almost surely, 2^115475600 is an apocalyptic number.

115475600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115475600 is an abundant number, since it is smaller than the sum of its proper divisors (161955490).

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

115475600 is a wasteful number, since it uses less digits than its factorization.

115475600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288707 (or 288696 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 115475600 is about 10745.9573794055. The cubic root of 115475600 is about 486.9638725876.

The spelling of 115475600 in words is "one hundred fifteen million, four hundred seventy-five thousand, six hundred".