113097920 has 112 divisors (see below), whose sum is σ = 299728128. Its totient is φ = 40366080.

The previous prime is 113097857. The next prime is 113097931. The reversal of 113097920 is 29790311.

It is a happy number.

It is a super-2 number, since 2×113097920² = 25582279016652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128522 + ... + 129398.

It is an arithmetic number, because the mean of its divisors is an integer number (2676144).

Almost surely, 2^113097920 is an apocalyptic number.

113097920 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 113097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149864064).

113097920 is an abundant number, since it is smaller than the sum of its proper divisors (186630208).

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

113097920 is a wasteful number, since it uses less digits than its factorization.

113097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 113097920 is about 10634.7505847575. The cubic root of 113097920 is about 483.5984192578.

The spelling of 113097920 in words is "one hundred thirteen million, ninety-seven thousand, nine hundred twenty".