107368620879168 has 2016 divisors, whose sum is σ = 381108957465600. Its totient is φ = 28751044608000.

The previous prime is 107368620879131. The next prime is 107368620879173. The reversal of 107368620879168 is 861978026863701.

107368620879168 is a `hidden beast` number, since 1 + 0 + 7 + 368 + 6 + 20 + 87 + 9 + 168 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 107368620879096 and 107368620879105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 132717701548 + ... + 132717702356.

It is an arithmetic number, because the mean of its divisors is an integer number (189042141600).

Almost surely, 2^{107368620879168} is an apocalyptic number.

107368620879168 is a gapful number since it is divisible by the number (18) 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 107368620879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190554478732800).

107368620879168 is an abundant number, since it is smaller than the sum of its proper divisors (273740336586432).

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

107368620879168 is a wasteful number, since it uses less digits than its factorization.

107368620879168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 107368620879168 in words is "one hundred seven trillion, three hundred sixty-eight billion, six hundred twenty million, eight hundred seventy-nine thousand, one hundred sixty-eight".