107039520 has 432 divisors, whose sum is σ = 447036408. Its totient is φ = 23224320.

The previous prime is 107039519. The next prime is 107039563. The reversal of 107039520 is 25930701.

107039520 is a `hidden beast` number, since 107 + 0 + 39 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80784144 + 26255376 = 8988^2 + 5124^2 .

It is a super-2 number, since 2×107039520² = 22914917683660800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2610700 + ... + 2610740.

Almost surely, 2^107039520 is an apocalyptic number.

107039520 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 107039520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223518204).

107039520 is an abundant number, since it is smaller than the sum of its proper divisors (339996888).

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

107039520 is a wasteful number, since it uses less digits than its factorization.

107039520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 107039520 is about 10345.9905277359. The cubic root of 107039520 is about 474.8043811300.

The spelling of 107039520 in words is "one hundred seven million, thirty-nine thousand, five hundred twenty".