107132737776792 has 384 divisors, whose sum is σ = 363927380725440. Its totient is φ = 25944135598080.

The previous prime is 107132737776781. The next prime is 107132737776847. The reversal of 107132737776792 is 297677737231701.

107132737776792 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107132737776792² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5628738 + ... + 15682734.

Almost surely, 2^{107132737776792} is an apocalyptic number.

107132737776792 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 107132737776792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181963690362720).

107132737776792 is an abundant number, since it is smaller than the sum of its proper divisors (256794642948648).

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

107132737776792 is a wasteful number, since it uses less digits than its factorization.

107132737776792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10054091 (or 10054080 counting only the distinct ones).

The product of its (nonzero) digits is 228709656, while the sum is 69.

The spelling of 107132737776792 in words is "one hundred seven trillion, one hundred thirty-two billion, seven hundred thirty-seven million, seven hundred seventy-six thousand, seven hundred ninety-two".