100564064405 has 24 divisors (see below), whose sum is σ = 147767611680. Its totient is φ = 65328832800.

The previous prime is 100564064399. The next prime is 100564064431. The reversal of 100564064405 is 504460465001.

It is not a de Polignac number, because 100564064405 - 2¹⁴ = 100564048021 is a prime.

It is a super-2 number, since 2×100564064405² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10797071 + ... + 10806380.

It is an arithmetic number, because the mean of its divisors is an integer number (6156983820).

Almost surely, 2^100564064405 is an apocalyptic number.

It is an amenable number.

100564064405 is a deficient number, since it is larger than the sum of its proper divisors (47203547275).

100564064405 is a wasteful number, since it uses less digits than its factorization.

100564064405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21603489 (or 21603482 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 100564064405 in words is "one hundred billion, five hundred sixty-four million, sixty-four thousand, four hundred five".