107055360 has 108 divisors (see below), whose sum is σ = 370440252. Its totient is φ = 28545024.

The previous prime is 107055359. The next prime is 107055373. The reversal of 107055360 is 63550701.

107055360 is a `hidden beast` number, since 107 + 0 + 553 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 85821696 = 4608^2 + 9264^2 .

It is a super-2 number, since 2×107055360² = 22921700209459200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6874 + ... + 16166.

Almost surely, 2^107055360 is an apocalyptic number.

107055360 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 107055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185220126).

107055360 is an abundant number, since it is smaller than the sum of its proper divisors (263384892).

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

107055360 is an equidigital number, since it uses as much as digits as its factorization.

107055360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320 (or 9303 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 107055360 is about 10346.7560133599. The cubic root of 107055360 is about 474.8278009237.

The spelling of 107055360 in words is "one hundred seven million, fifty-five thousand, three hundred sixty".