100109736864 has 96 divisors (see below), whose sum is σ = 295504856640. Its totient is φ = 32967841536.

The previous prime is 100109736829. The next prime is 100109736893. The reversal of 100109736864 is 468637901001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626287 + ... + 769710.

It is an arithmetic number, because the mean of its divisors is an integer number (3078175590).

Almost surely, 2^100109736864 is an apocalyptic number.

It is an amenable number.

100109736864 is an abundant number, since it is smaller than the sum of its proper divisors (195395119776).

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

100109736864 is a wasteful number, since it uses less digits than its factorization.

100109736864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396099 (or 1396085 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 100109736864 in words is "one hundred billion, one hundred nine million, seven hundred thirty-six thousand, eight hundred sixty-four".