107640520 has 64 divisors (see below), whose sum is σ = 262044720. Its totient is φ = 39558144.

The previous prime is 107640517. The next prime is 107640527. The reversal of 107640520 is 25046701.

It can be written as a sum of positive squares in 8 ways, for example, as 1179396 + 106461124 = 1086^2 + 10318^2 .

It is not an unprimeable number, because it can be changed into a prime (107640527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164514 + ... + 165166.

Almost surely, 2^107640520 is an apocalyptic number.

107640520 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 107640520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131022360).

107640520 is an abundant number, since it is smaller than the sum of its proper divisors (154404200).

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

107640520 is a wasteful number, since it uses less digits than its factorization.

107640520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 107640520 is about 10374.9949397578. The cubic root of 107640520 is about 475.6913588951.

The spelling of 107640520 in words is "one hundred seven million, six hundred forty thousand, five hundred twenty".