104875584025 has 27 divisors (see below), whose sum is σ = 131075793183. Its totient is φ = 83241118800.

The previous prime is 104875584013. The next prime is 104875584029. The reversal of 104875584025 is 520485578401.

The square root of 104875584025 is 323845.

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

It can be written as a sum of positive squares in only one way, i.e., 37755210249 + 67120373776 = 194307^2 + 259076^2 .

It is not a de Polignac number, because 104875584025 - 2¹⁵ = 104875551257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 104875584025.

It is not an unprimeable number, because it can be changed into a prime (104875584029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 386994640 + ... + 386994910.

Almost surely, 2^104875584025 is an apocalyptic number.

104875584025 is the 323845-th square number.

104875584025 is the 161923-rd centered octagonal number.

It is an amenable number.

104875584025 is a deficient number, since it is larger than the sum of its proper divisors (26200209158).

104875584025 is an frugal number, since it uses more digits than its factorization.

104875584025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1792000, while the sum is 49.

Multiplying 104875584025 by its sum of digits (49), we get a square (5138903617225 = 2266915²).

It can be divided in two parts, 104875 and 584025, that added together give a square (688900 = 830²).

The spelling of 104875584025 in words is "one hundred four billion, eight hundred seventy-five million, five hundred eighty-four thousand, twenty-five".