107013360 has 160 divisors (see below), whose sum is σ = 347120640. Its totient is φ = 27249664.

The previous prime is 107013359. The next prime is 107013367. The reversal of 107013360 is 63310701.

It is a super-2 number, since 2×107013360² = 22903718436979200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107013367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 597751 + ... + 597929.

It is an arithmetic number, because the mean of its divisors is an integer number (2169504).

Almost surely, 2^107013360 is an apocalyptic number.

107013360 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 107013360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173560320).

107013360 is an abundant number, since it is smaller than the sum of its proper divisors (240107280).

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

107013360 is a wasteful number, since it uses less digits than its factorization.

107013360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 107013360 is about 10344.7261926065. The cubic root of 107013360 is about 474.7656979265.

The spelling of 107013360 in words is "one hundred seven million, thirteen thousand, three hundred sixty".