100864164744 has 96 divisors (see below), whose sum is σ = 318089229120. Its totient is φ = 28274583168.

The previous prime is 100864164743. The next prime is 100864164767. The reversal of 100864164744 is 447461468001.

100864164744 is a `hidden beast` number, since 100 + 8 + 64 + 16 + 474 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100864164744.

It is not an unprimeable number, because it can be changed into a prime (100864164743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1861282 + ... + 1914705.

It is an arithmetic number, because the mean of its divisors is an integer number (3313429470).

Almost surely, 2^100864164744 is an apocalyptic number.

100864164744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100864164744 is an abundant number, since it is smaller than the sum of its proper divisors (217225064376).

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

100864164744 is a wasteful number, since it uses less digits than its factorization.

100864164744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776059 (or 3776052 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 100864164744 in words is "one hundred billion, eight hundred sixty-four million, one hundred sixty-four thousand, seven hundred forty-four".