100023385681688 has 32 divisors (see below), whose sum is σ = 214336607708160. Its totient is φ = 42867009042720.

The previous prime is 100023385681649. The next prime is 100023385681717. The reversal of 100023385681688 is 886186583320001.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12960473 + ... + 19183863.

It is an arithmetic number, because the mean of its divisors is an integer number (6698018990880).

Almost surely, 2^{100023385681688} is an apocalyptic number.

It is an amenable number.

100023385681688 is an abundant number, since it is smaller than the sum of its proper divisors (114313222026472).

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

100023385681688 is a wasteful number, since it uses less digits than its factorization.

100023385681688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6510407 (or 6510403 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 59.

The spelling of 100023385681688 in words is "one hundred trillion, twenty-three billion, three hundred eighty-five million, six hundred eighty-one thousand, six hundred eighty-eight".