107407365120 has 1408 divisors, whose sum is σ = 451631738880. Its totient is φ = 23940956160.

The previous prime is 107407365119. The next prime is 107407365167. The reversal of 107407365120 is 21563704701.

It is a happy number.

107407365120 is a `hidden beast` number, since 1 + 0 + 74 + 0 + 73 + 6 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×107407365120² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1294064599 + ... + 1294064681.

Almost surely, 2^107407365120 is an apocalyptic number.

107407365120 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 107407365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225815869440).

107407365120 is an abundant number, since it is smaller than the sum of its proper divisors (344224373760).

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

107407365120 is a wasteful number, since it uses less digits than its factorization.

107407365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 107407365120 in words is "one hundred seven billion, four hundred seven million, three hundred sixty-five thousand, one hundred twenty".