115311800 has 48 divisors (see below), whose sum is σ = 269681400. Its totient is φ = 45852800.

The previous prime is 115311793. The next prime is 115311827. The reversal of 115311800 is 8113511.

It is a super-2 number, since 2×115311800² = 26593622438480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 34190 + ... + 37410.

Almost surely, 2^115311800 is an apocalyptic number.

115311800 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 115311800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134840700).

115311800 is an abundant number, since it is smaller than the sum of its proper divisors (154369600).

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

115311800 is a wasteful number, since it uses less digits than its factorization.

115311800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

The square root of 115311800 is about 10738.3332039940. Note that the first 3 decimals coincide. The cubic root of 115311800 is about 486.7335138885.

It can be divided in two parts, 11531 and 1800, that added together give a palindrome (13331).

The spelling of 115311800 in words is "one hundred fifteen million, three hundred eleven thousand, eight hundred".