107517932896 has 192 divisors, whose sum is σ = 253592156160. Its totient is φ = 44301312000.

The previous prime is 107517932869. The next prime is 107517932911. The reversal of 107517932896 is 698239715701.

It is a self number, because there is not a number n which added to its sum of digits gives 107517932896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42479151 + ... + 42481681.

It is an arithmetic number, because the mean of its divisors is an integer number (1320792480).

Almost surely, 2^107517932896 is an apocalyptic number.

107517932896 is a gapful number since it is divisible by the number (16) 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 107517932896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126796078080).

107517932896 is an abundant number, since it is smaller than the sum of its proper divisors (146074223264).

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

107517932896 is a wasteful number, since it uses less digits than its factorization.

107517932896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 58.

It can be divided in two parts, 1075 and 17932896, that added together give a palindrome (17933971).

The spelling of 107517932896 in words is "one hundred seven billion, five hundred seventeen million, nine hundred thirty-two thousand, eight hundred ninety-six".