100808577688 has 96 divisors (see below), whose sum is σ = 236911197600. Its totient is φ = 39859803648.

The previous prime is 100808577659. The next prime is 100808577703. The reversal of 100808577688 is 886775808001.

It is a congruent number.

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, 13332453 + ... + 13340011.

It is an arithmetic number, because the mean of its divisors is an integer number (2467824975).

Almost surely, 2^100808577688 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 100808577688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118455598800).

100808577688 is an abundant number, since it is smaller than the sum of its proper divisors (136102619912).

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

100808577688 is a wasteful number, since it uses less digits than its factorization.

100808577688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10209 (or 10198 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 58.

The spelling of 100808577688 in words is "one hundred billion, eight hundred eight million, five hundred seventy-seven thousand, six hundred eighty-eight".