105689138465 has 64 divisors (see below), whose sum is σ = 146848826880. Its totient is φ = 72511488000.

The previous prime is 105689138461. The next prime is 105689138483. The reversal of 105689138465 is 564831986501.

It is not a de Polignac number, because 105689138465 - 2² = 105689138461 is a prime.

It is a super-2 number, since 2×105689138465² (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 105689138465.

It is not an unprimeable number, because it can be changed into a prime (105689138461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4690025 + ... + 4712505.

It is an arithmetic number, because the mean of its divisors is an integer number (2294512920).

Almost surely, 2^105689138465 is an apocalyptic number.

It is an amenable number.

105689138465 is a deficient number, since it is larger than the sum of its proper divisors (41159688415).

105689138465 is a wasteful number, since it uses less digits than its factorization.

105689138465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22634.

The product of its (nonzero) digits is 6220800, while the sum is 56.

The spelling of 105689138465 in words is "one hundred five billion, six hundred eighty-nine million, one hundred thirty-eight thousand, four hundred sixty-five".