105104564 has 6 divisors (see below), whose sum is σ = 183932994. Its totient is φ = 52552280.

The previous prime is 105104563. The next prime is 105104567. The reversal of 105104564 is 465401501.

It can be written as a sum of positive squares in only one way, i.e., 78499600 + 26604964 = 8860^2 + 5158^2 .

It is a super-2 number, since 2×105104564² = 22093938747260192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105104563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13138067 + ... + 13138074.

It is an arithmetic number, because the mean of its divisors is an integer number (30655499).

Almost surely, 2^105104564 is an apocalyptic number.

It is an amenable number.

105104564 is a deficient number, since it is larger than the sum of its proper divisors (78828430).

105104564 is a wasteful number, since it uses less digits than its factorization.

105104564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26276145 (or 26276143 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 105104564 is about 10252.0516970995. The cubic root of 105104564 is about 471.9259495533.

The spelling of 105104564 in words is "one hundred five million, one hundred four thousand, five hundred sixty-four".