115086800 has 90 divisors (see below), whose sum is σ = 292180518. Its totient is φ = 43557120.

The previous prime is 115086799. The next prime is 115086833. The reversal of 115086800 is 8680511.

It can be written as a sum of positive squares in 3 ways, for example, as 6677056 + 108409744 = 2584^2 + 10412^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 144002 + ... + 144798.

Almost surely, 2^115086800 is an apocalyptic number.

115086800 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 115086800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146090259).

115086800 is an abundant number, since it is smaller than the sum of its proper divisors (177093718).

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

115086800 is a wasteful number, since it uses less digits than its factorization.

115086800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 115086800 is about 10727.8516022548. The cubic root of 115086800 is about 486.4167311953.

The spelling of 115086800 in words is "one hundred fifteen million, eighty-six thousand, eight hundred".