105688929288965 has 64 divisors (see below), whose sum is σ = 147183865344000. Its totient is φ = 72047416032000.

The previous prime is 105688929288829. The next prime is 105688929288991. The reversal of 105688929288965 is 569882929886501.

It is not a de Polignac number, because 105688929288965 - 2¹⁴ = 105688929272581 is a prime.

It is a super-2 number, since 2×105688929288965² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149838686 + ... + 150542384.

It is an arithmetic number, because the mean of its divisors is an integer number (2299747896000).

Almost surely, 2^{105688929288965} is an apocalyptic number.

It is an amenable number.

105688929288965 is a deficient number, since it is larger than the sum of its proper divisors (41494936055035).

105688929288965 is a wasteful number, since it uses less digits than its factorization.

105688929288965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705258.

The product of its (nonzero) digits is 10749542400, while the sum is 86.

The spelling of 105688929288965 in words is "one hundred five trillion, six hundred eighty-eight billion, nine hundred twenty-nine million, two hundred eighty-eight thousand, nine hundred sixty-five".