115992900 has 81 divisors (see below), whose sum is σ = 364588861. Its totient is φ = 30845280.

The previous prime is 115992893. The next prime is 115992901. The reversal of 115992900 is 9299511.

The square root of 115992900 is 10770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 41757444 + 74235456 = 6462^2 + 8616^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115992901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 322921 + ... + 323279.

Almost surely, 2^115992900 is an apocalyptic number.

115992900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115992900 is the 10770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115992900

115992900 is an abundant number, since it is smaller than the sum of its proper divisors (248595961).

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

115992900 is a wasteful number, since it uses less digits than its factorization.

115992900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The cubic root of 115992900 is about 487.6899457053.

Multiplying 115992900 by its sum of digits (36), we get a square (4175744400 = 64620²).

115992900 divided by its sum of digits (36) gives a square (3222025 = 1795²).

The spelling of 115992900 in words is "one hundred fifteen million, nine hundred ninety-two thousand, nine hundred".