107676030475200 has 672 divisors, whose sum is σ = 425793315340800. Its totient is φ = 23499623628800.

The previous prime is 107676030475187. The next prime is 107676030475261. The reversal of 107676030475200 is 2574030676701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 107676030475200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18036976 + ... + 23252624.

Almost surely, 2^{107676030475200} is an apocalyptic number.

107676030475200 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 107676030475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212896657670400).

107676030475200 is an abundant number, since it is smaller than the sum of its proper divisors (318117284865600).

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

107676030475200 is a wasteful number, since it uses less digits than its factorization.

107676030475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215725 (or 5215710 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 107676030475200 in words is "one hundred seven trillion, six hundred seventy-six billion, thirty million, four hundred seventy-five thousand, two hundred".