108392628960 has 288 divisors, whose sum is σ = 461161838592. Its totient is φ = 22523120640.

The previous prime is 108392628943. The next prime is 108392628961. The reversal of 108392628960 is 69826293801.

108392628960 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 9 + 2 + 628 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 108392628897 and 108392628906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108392628961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377904 + ... + 599663.

It is an arithmetic number, because the mean of its divisors is an integer number (1601256384).

Almost surely, 2^108392628960 is an apocalyptic number.

108392628960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108392628960 is an abundant number, since it is smaller than the sum of its proper divisors (352769209632).

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

108392628960 is a wasteful number, since it uses less digits than its factorization.

108392628960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977606 (or 977595 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 108392628960 in words is "one hundred eight billion, three hundred ninety-two million, six hundred twenty-eight thousand, nine hundred sixty".