101908830768 has 120 divisors (see below), whose sum is σ = 294381366720. Its totient is φ = 30288614400.

The previous prime is 101908830757. The next prime is 101908830839. The reversal of 101908830768 is 867038809101.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 101908830768.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70243 + ... + 456893.

It is an arithmetic number, because the mean of its divisors is an integer number (2453178056).

Almost surely, 2^101908830768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101908830768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147190683360).

101908830768 is an abundant number, since it is smaller than the sum of its proper divisors (192472535952).

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

101908830768 is a wasteful number, since it uses less digits than its factorization.

101908830768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386715 (or 386692 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 101908830768 in words is "one hundred one billion, nine hundred eight million, eight hundred thirty thousand, seven hundred sixty-eight".