100164034282320 has 120 divisors (see below), whose sum is σ = 338952033886752. Its totient is φ = 26506512864000.

The previous prime is 100164034282313. The next prime is 100164034282327. The reversal of 100164034282320 is 23282430461001.

100164034282320 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 640 + 3 + 4 + 2 + 8 + 2 + 3 + 2 + 0 = 666.

100164034282320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100164034282313) and next prime (100164034282327).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100164034282327) 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, 530885506 + ... + 531074145.

Almost surely, 2^{100164034282320} is an apocalyptic number.

100164034282320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100164034282320 is an abundant number, since it is smaller than the sum of its proper divisors (238787999604432).

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

100164034282320 is a wasteful number, since it uses less digits than its factorization.

100164034282320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061959801 (or 1061959792 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 100164034282320 in words is "one hundred trillion, one hundred sixty-four billion, thirty-four million, two hundred eighty-two thousand, three hundred twenty".