107375984640 has 896 divisors, whose sum is σ = 412587388800. Its totient is φ = 26754416640.

The previous prime is 107375984543. The next prime is 107375984659. The reversal of 107375984640 is 46489573701.

107375984640 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 7 + 598 + 4 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3463741425 + ... + 3463741455.

Almost surely, 2^107375984640 is an apocalyptic number.

107375984640 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 107375984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206293694400).

107375984640 is an abundant number, since it is smaller than the sum of its proper divisors (305211404160).

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

107375984640 is an frugal number, since it uses more digits than its factorization.

107375984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 107375984640 in words is "one hundred seven billion, three hundred seventy-five million, nine hundred eighty-four thousand, six hundred forty".