104933884225 has 81 divisors (see below), whose sum is σ = 143451558747. Its totient is φ = 76127316480.

The previous prime is 104933884129. The next prime is 104933884261. The reversal of 104933884225 is 522488339401.

It is a happy number.

The square root of 104933884225 is 323935.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3244327681 + 101689556544 = 56959^2 + 318888^2 .

It is not a de Polignac number, because 104933884225 - 2¹⁵ = 104933851457 is a prime.

It is a super-2 number, since 2×104933884225² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1018775524 + ... + 1018775626.

Almost surely, 2^104933884225 is an apocalyptic number.

104933884225 is the 323935-th square number.

104933884225 is the 161968-th centered octagonal number.

It is an amenable number.

104933884225 is a deficient number, since it is larger than the sum of its proper divisors (38517674522).

104933884225 is an equidigital number, since it uses as much as digits as its factorization.

104933884225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

Multiplying 104933884225 by its sum of digits (49), we get a square (5141760327025 = 2267545²).

The spelling of 104933884225 in words is "one hundred four billion, nine hundred thirty-three million, eight hundred eighty-four thousand, two hundred twenty-five".