107975689920 has 336 divisors, whose sum is σ = 430267506240. Its totient is φ = 24341741568.

The previous prime is 107975689903. The next prime is 107975689961. The reversal of 107975689920 is 29986579701.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×107975689920² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1434996 + ... + 1508364.

Almost surely, 2^107975689920 is an apocalyptic number.

107975689920 is a gapful number since it is divisible by the number (10) 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 107975689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215133753120).

107975689920 is an abundant number, since it is smaller than the sum of its proper divisors (322291816320).

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

107975689920 is a wasteful number, since it uses less digits than its factorization.

107975689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73472 (or 73459 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 107975689920 in words is "one hundred seven billion, nine hundred seventy-five million, six hundred eighty-nine thousand, nine hundred twenty".