107599920 has 80 divisors (see below), whose sum is σ = 340692480. Its totient is φ = 28079872.

The previous prime is 107599909. The next prime is 107599963. The reversal of 107599920 is 29995701.

It is a tau number, because it is divible by the number of its divisors (80).

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, 6511 + ... + 16049.

It is an arithmetic number, because the mean of its divisors is an integer number (4258656).

Almost surely, 2^107599920 is an apocalyptic number.

107599920 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 107599920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170346240).

107599920 is an abundant number, since it is smaller than the sum of its proper divisors (233092560).

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

107599920 is a wasteful number, since it uses less digits than its factorization.

107599920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9602 (or 9596 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 42.

The square root of 107599920 is about 10373.0381277618. The cubic root of 107599920 is about 475.6315440662.

The spelling of 107599920 in words is "one hundred seven million, five hundred ninety-nine thousand, nine hundred twenty".