105152012564 has 6 divisors (see below), whose sum is σ = 184016021994. Its totient is φ = 52576006280.

The previous prime is 105152012557. The next prime is 105152012579. The reversal of 105152012564 is 465210251501.

It can be written as a sum of positive squares in only one way, i.e., 82242768400 + 22909244164 = 286780^2 + 151358^2 .

It is a super-2 number, since 2×105152012564² (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 105152012564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13144001567 + ... + 13144001574.

It is an arithmetic number, because the mean of its divisors is an integer number (30669336999).

Almost surely, 2^105152012564 is an apocalyptic number.

It is an amenable number.

105152012564 is a deficient number, since it is larger than the sum of its proper divisors (78864009430).

105152012564 is a wasteful number, since it uses less digits than its factorization.

105152012564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26288003145 (or 26288003143 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 105152012564 in words is "one hundred five billion, one hundred fifty-two million, twelve thousand, five hundred sixty-four".