107655840 has 72 divisors (see below), whose sum is σ = 367380468. Its totient is φ = 28707840.

The previous prime is 107655827. The next prime is 107655841. The reversal of 107655840 is 48556701.

107655840 is a `hidden beast` number, since 1 + 0 + 76 + 5 + 584 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104284944 + 3370896 = 10212^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×107655840² = 23179559772211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107655795 and 107655804.

It is not an unprimeable number, because it can be changed into a prime (107655841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35941 + ... + 38820.

Almost surely, 2^107655840 is an apocalyptic number.

107655840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107655840 is an abundant number, since it is smaller than the sum of its proper divisors (259724628).

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

107655840 is a wasteful number, since it uses less digits than its factorization.

107655840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74782 (or 74771 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 107655840 is about 10375.7332271026. The cubic root of 107655840 is about 475.7139255082.

The spelling of 107655840 in words is "one hundred seven million, six hundred fifty-five thousand, eight hundred forty".