100164853305 has 36 divisors (see below), whose sum is σ = 190837510500. Its totient is φ = 48564774720.

The previous prime is 100164853297. The next prime is 100164853309. The reversal of 100164853305 is 503358461001.

100164853305 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 648 + 5 + 3 + 3 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40402206009 + 59762647296 = 201003^2 + 244464^2 .

It is not a de Polignac number, because 100164853305 - 2³ = 100164853297 is a prime.

It is a super-2 number, since 2×100164853305² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100164853305.

It is not an unprimeable number, because it can be changed into a prime (100164853309) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 9192430 + ... + 9203319.

Almost surely, 2^100164853305 is an apocalyptic number.

100164853305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100164853305 is a deficient number, since it is larger than the sum of its proper divisors (90672657195).

100164853305 is a wasteful number, since it uses less digits than its factorization.

100164853305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18395782 (or 18395768 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 100164853305 in words is "one hundred billion, one hundred sixty-four million, eight hundred fifty-three thousand, three hundred five".