115929600 has 120 divisors (see below), whose sum is σ = 383093040. Its totient is φ = 30904320.

The previous prime is 115929571. The next prime is 115929607. The reversal of 115929600 is 6929511.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (115929607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36891 + ... + 39909.

It is an arithmetic number, because the mean of its divisors is an integer number (3192442).

Almost surely, 2^115929600 is an apocalyptic number.

115929600 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 115929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191546520).

115929600 is an abundant number, since it is smaller than the sum of its proper divisors (267163440).

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

115929600 is an equidigital number, since it uses as much as digits as its factorization.

115929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 115929600 is about 10767.0608802960. The cubic root of 115929600 is about 487.6012150132.

The spelling of 115929600 in words is "one hundred fifteen million, nine hundred twenty-nine thousand, six hundred".