100871690688 has 336 divisors, whose sum is σ = 331624838400. Its totient is φ = 29977620480.

The previous prime is 100871690657. The next prime is 100871690701. The reversal of 100871690688 is 886096178001.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9483133 + ... + 9493763.

Almost surely, 2^100871690688 is an apocalyptic number.

100871690688 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 100871690688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165812419200).

100871690688 is an abundant number, since it is smaller than the sum of its proper divisors (230753147712).

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

100871690688 is a wasteful number, since it uses less digits than its factorization.

100871690688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10705 (or 10672 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 100871690688 in words is "one hundred billion, eight hundred seventy-one million, six hundred ninety thousand, six hundred eighty-eight".