107908631352 has 512 divisors, whose sum is σ = 343554048000. Its totient is φ = 31230904320.

The previous prime is 107908631263. The next prime is 107908631393. The reversal of 107908631352 is 253136809701.

107908631352 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 0 + 8 + 631 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 107908631298 and 107908631307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165250258 + ... + 165250910.

It is an arithmetic number, because the mean of its divisors is an integer number (671004000).

Almost surely, 2^107908631352 is an apocalyptic number.

107908631352 is a gapful number since it is divisible by the number (12) 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 107908631352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171777024000).

107908631352 is an abundant number, since it is smaller than the sum of its proper divisors (235645416648).

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

107908631352 is a wasteful number, since it uses less digits than its factorization.

107908631352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 107908631352 in words is "one hundred seven billion, nine hundred eight million, six hundred thirty-one thousand, three hundred fifty-two".