100100099968 has 64 divisors (see below), whose sum is σ = 219135449520. Its totient is φ = 45167841280.

The previous prime is 100100099923. The next prime is 100100099977. The reversal of 100100099968 is 869990001001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66571 + ... + 452362.

Almost surely, 2^100100099968 is an apocalyptic number.

It is an amenable number.

100100099968 is an abundant number, since it is smaller than the sum of its proper divisors (119035349552).

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

100100099968 is a wasteful number, since it uses less digits than its factorization.

100100099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519095 (or 519083 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 43.

The spelling of 100100099968 in words is "one hundred billion, one hundred million, ninety-nine thousand, nine hundred sixty-eight".