107314708320 has 72 divisors (see below), whose sum is σ = 366211447056. Its totient is φ = 28617255168.

The previous prime is 107314708229. The next prime is 107314708337. The reversal of 107314708320 is 23807413701.

107314708320 is a `hidden beast` number, since 10 + 7 + 314 + 7 + 0 + 8 + 320 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37260612 + ... + 37263491.

It is an arithmetic number, because the mean of its divisors is an integer number (5086270098).

Almost surely, 2^107314708320 is an apocalyptic number.

107314708320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107314708320 is an abundant number, since it is smaller than the sum of its proper divisors (258896738736).

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

107314708320 is a wasteful number, since it uses less digits than its factorization.

107314708320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74524124 (or 74524113 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 107314708320 in words is "one hundred seven billion, three hundred fourteen million, seven hundred eight thousand, three hundred twenty".