115385800 has 48 divisors (see below), whose sum is σ = 284061060. Its totient is φ = 43438080.

The previous prime is 115385773. The next prime is 115385827. The reversal of 115385800 is 8583511.

It is an interprime number because it is at equal distance from previous prime (115385773) and next prime (115385827).

It can be written as a sum of positive squares in 6 ways, for example, as 94828644 + 20557156 = 9738^2 + 4534^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13569 + ... + 20368.

Almost surely, 2^115385800 is an apocalyptic number.

115385800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115385800 is an abundant number, since it is smaller than the sum of its proper divisors (168675260).

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

115385800 is a wasteful number, since it uses less digits than its factorization.

115385800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33970 (or 33961 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

The square root of 115385800 is about 10741.7782512953. The cubic root of 115385800 is about 486.8376101388.

The spelling of 115385800 in words is "one hundred fifteen million, three hundred eighty-five thousand, eight hundred".