100765500506705 has 16 divisors (see below), whose sum is σ = 121694264961984. Its totient is φ = 80095337100480.

The previous prime is 100765500506591. The next prime is 100765500506717. The reversal of 100765500506705 is 507605005567001.

It is not a de Polignac number, because 100765500506705 - 2¹⁸ = 100765500244561 is a prime.

It is a super-2 number, since 2×100765500506705² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100765500506705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14611850 + ... + 20372460.

It is an arithmetic number, because the mean of its divisors is an integer number (7605891560124).

Almost surely, 2^{100765500506705} is an apocalyptic number.

It is an amenable number.

100765500506705 is a deficient number, since it is larger than the sum of its proper divisors (20928764455279).

100765500506705 is a wasteful number, since it uses less digits than its factorization.

100765500506705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783056.

The product of its (nonzero) digits is 1102500, while the sum is 47.

The spelling of 100765500506705 in words is "one hundred trillion, seven hundred sixty-five billion, five hundred million, five hundred six thousand, seven hundred five".