104975864367529 has 9 divisors (see below), whose sum is σ = 105513470465637. Its totient is φ = 104440983788064.

The previous prime is 104975864367509. The next prime is 104975864367571. The reversal of 104975864367529 is 925763468579401.

The square root of 104975864367529 is 10245773.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 101367946467225 + 3607917900304 = 10068165^2 + 1899452^2 .

It is not a de Polignac number, because 104975864367529 - 2¹⁷ = 104975864236457 is a prime.

It is a super-2 number, since 2×104975864367529² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104975864367509) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2018391277 + ... + 2018443285.

It is a 1-persistent number, because it is pandigital, but 2⋅104975864367529 = 209951728735058 is not.

Almost surely, 2^{104975864367529} is an apocalyptic number.

104975864367529 is the 10245773-rd square number.

104975864367529 is the 5122887-th centered octagonal number.

It is an amenable number.

104975864367529 is a deficient number, since it is larger than the sum of its proper divisors (537606098108).

104975864367529 is an frugal number, since it uses more digits than its factorization.

104975864367529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104412 (or 52206 counting only the distinct ones).

The product of its (nonzero) digits is 2743372800, while the sum is 76.

The spelling of 104975864367529 in words is "one hundred four trillion, nine hundred seventy-five billion, eight hundred sixty-four million, three hundred sixty-seven thousand, five hundred twenty-nine".