105005512600165 has 32 divisors (see below), whose sum is σ = 126378344687616. Its totient is φ = 83757030981120.

The previous prime is 105005512600159. The next prime is 105005512600193. The reversal of 105005512600165 is 561006215500501.

It is not a de Polignac number, because 105005512600165 - 2⁹ = 105005512599653 is a prime.

It is a super-2 number, since 2×105005512600165² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

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 31 ways as a sum of consecutive naturals, for example, 8056888489 + ... + 8056901521.

It is an arithmetic number, because the mean of its divisors is an integer number (3949323271488).

Almost surely, 2^{105005512600165} is an apocalyptic number.

It is an amenable number.

105005512600165 is a deficient number, since it is larger than the sum of its proper divisors (21372832087451).

105005512600165 is a wasteful number, since it uses less digits than its factorization.

105005512600165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16909.

The product of its (nonzero) digits is 45000, while the sum is 37.

The spelling of 105005512600165 in words is "one hundred five trillion, five billion, five hundred twelve million, six hundred thousand, one hundred sixty-five".