100064664225765 has 48 divisors (see below), whose sum is σ = 174556089227520. Its totient is φ = 53026560385920.

The previous prime is 100064664225653. The next prime is 100064664225833. The reversal of 100064664225765 is 567522466460001.

100064664225765 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 6 + 4 + 6 + 64 + 2 + 2 + 576 + 5 = 666.

It is not a de Polignac number, because 100064664225765 - 2¹⁰ = 100064664224741 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4869939 + ... + 14961471.

It is an arithmetic number, because the mean of its divisors is an integer number (3636585192240).

Almost surely, 2^{100064664225765} is an apocalyptic number.

100064664225765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100064664225765 is a deficient number, since it is larger than the sum of its proper divisors (74491425001755).

100064664225765 is a wasteful number, since it uses less digits than its factorization.

100064664225765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10092954 (or 10092951 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 100064664225765 in words is "one hundred trillion, sixty-four billion, six hundred sixty-four million, two hundred twenty-five thousand, seven hundred sixty-five".