113097600 has 768 divisors, whose sum is σ = 546393600. Its totient is φ = 22118400.

The previous prime is 113097587. The next prime is 113097613. The reversal of 113097600 is 6790311.

It is an interprime number because it is at equal distance from previous prime (113097587) and next prime (113097613).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6652792 + ... + 6652808.

It is an arithmetic number, because the mean of its divisors is an integer number (711450).

Almost surely, 2^113097600 is an apocalyptic number.

113097600 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 113097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273196800).

113097600 is an abundant number, since it is smaller than the sum of its proper divisors (433296000).

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

113097600 is a wasteful number, since it uses less digits than its factorization.

113097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 113097600 is about 10634.7355397302. The cubic root of 113097600 is about 483.5979631585.

The spelling of 113097600 in words is "one hundred thirteen million, ninety-seven thousand, six hundred".