100164654144 has 63 divisors (see below), whose sum is σ = 287125669207. Its totient is φ = 33385686144.

The previous prime is 100164654133. The next prime is 100164654179. The reversal of 100164654144 is 441456461001.

The square root of 100164654144 is 316488.

It is a perfect power (a square), and thus also a powerful number.

100164654144 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 646 + 5 + 4 + 1 + 4 + 4 = 666.

It is a super-3 number, since 3×100164654144³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100164654099 and 100164654108.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7589119 + ... + 7602305.

Almost surely, 2^100164654144 is an apocalyptic number.

100164654144 is the 316488-th square number.

It is an amenable number.

100164654144 is an abundant number, since it is smaller than the sum of its proper divisors (186961015063).

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

100164654144 is an frugal number, since it uses more digits than its factorization.

100164654144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26392 (or 13192 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 100164654144 by its sum of digits (36), we get a square (3605927549184 = 1898928²).

100164654144 divided by its sum of digits (36) gives a square (2782351504 = 52748²).

The spelling of 100164654144 in words is "one hundred billion, one hundred sixty-four million, six hundred fifty-four thousand, one hundred forty-four".