107509957632 has 792 divisors, whose sum is σ = 411509097792. Its totient is φ = 26682163200.

The previous prime is 107509957603. The next prime is 107509957673. The reversal of 107509957632 is 236759905701.

107509957632 is a `hidden beast` number, since 10 + 7 + 50 + 9 + 9 + 576 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114250282 + ... + 114251222.

Almost surely, 2^107509957632 is an apocalyptic number.

107509957632 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 107509957632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205754548896).

107509957632 is an abundant number, since it is smaller than the sum of its proper divisors (303999140160).

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

107509957632 is a wasteful number, since it uses less digits than its factorization.

107509957632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 107509957632 in words is "one hundred seven billion, five hundred nine million, nine hundred fifty-seven thousand, six hundred thirty-two".