104684308456225 has 27 divisors (see below), whose sum is σ = 137894649189721. Its totient is φ = 78820471548800.

The previous prime is 104684308456183. The next prime is 104684308456229. The reversal of 104684308456225 is 522654803486401.

The square root of 104684308456225 is 10231535.

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 2448671021329 + 102235637434896 = 1564823^2 + 10111164^2 .

It is a de Polignac number, because none of the positive numbers 2^k-104684308456225 is a prime.

It is a super-2 number, since 2×104684308456225² (a number of 29 digits) contains 22 as substring.

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 104684308456225.

It is not an unprimeable number, because it can be changed into a prime (104684308456229) 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, 869620290 + ... + 869740660.

Almost surely, 2^{104684308456225} is an apocalyptic number.

104684308456225 is the 10231535-th square number.

104684308456225 is the 5115768-th centered octagonal number.

It is an amenable number.

104684308456225 is a deficient number, since it is larger than the sum of its proper divisors (33210340733496).

104684308456225 is an frugal number, since it uses more digits than its factorization.

104684308456225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240786 (or 120393 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 58.

The spelling of 104684308456225 in words is "one hundred four trillion, six hundred eighty-four billion, three hundred eight million, four hundred fifty-six thousand, two hundred twenty-five".