115096800 has 576 divisors, whose sum is σ = 503967744. Its totient is φ = 22118400.

The previous prime is 115096789. The next prime is 115096841. The reversal of 115096800 is 8690511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3712785 + ... + 3712815.

It is an arithmetic number, because the mean of its divisors is an integer number (874944).

Almost surely, 2^115096800 is an apocalyptic number.

115096800 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 115096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251983872).

115096800 is an abundant number, since it is smaller than the sum of its proper divisors (388870944).

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

115096800 is a wasteful number, since it uses less digits than its factorization.

115096800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 115096800 is about 10728.3176686748. The cubic root of 115096800 is about 486.4308191893.

The spelling of 115096800 in words is "one hundred fifteen million, ninety-six thousand, eight hundred".