107921932965504 has 768 divisors, whose sum is σ = 369595190764800. Its totient is φ = 30707142819840.

The previous prime is 107921932965503. The next prime is 107921932965547. The reversal of 107921932965504 is 405569239129701.

107921932965504 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 2 + 1 + 9 + 32 + 96 + 5 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (107921932965503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83208891384 + ... + 83208892680.

It is an arithmetic number, because the mean of its divisors is an integer number (481243737975).

Almost surely, 2^{107921932965504} is an apocalyptic number.

107921932965504 is a gapful number since it is divisible by the number (14) 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 107921932965504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184797595382400).

107921932965504 is an abundant number, since it is smaller than the sum of its proper divisors (261673257799296).

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

107921932965504 is an equidigital number, since it uses as much as digits as its factorization.

107921932965504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 107921932965504 in words is "one hundred seven trillion, nine hundred twenty-one billion, nine hundred thirty-two million, nine hundred sixty-five thousand, five hundred four".