107359973404992 has 3024 divisors, whose sum is σ = 426444506324928. Its totient is φ = 26476839567360.

The previous prime is 107359973404967. The next prime is 107359973405023. The reversal of 107359973404992 is 299404379953701.

107359973404992 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 5 + 9 + 97 + 3 + 40 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 107359973404992.

It is a congruent number.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 683821486578 + ... + 683821486734.

Almost surely, 2^{107359973404992} is an apocalyptic number.

107359973404992 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 107359973404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213222253162464).

107359973404992 is an abundant number, since it is smaller than the sum of its proper divisors (319084532919936).

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

107359973404992 is a wasteful number, since it uses less digits than its factorization.

107359973404992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 72.

The spelling of 107359973404992 in words is "one hundred seven trillion, three hundred fifty-nine billion, nine hundred seventy-three million, four hundred four thousand, nine hundred ninety-two".