104249511370225 has 27 divisors (see below), whose sum is σ = 139978992428739. Its totient is φ = 76983764457600.

The previous prime is 104249511370211. The next prime is 104249511370289. The reversal of 104249511370225 is 522073115942401.

It is a happy number.

The square root of 104249511370225 is 10210265.

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 89467516460529 + 14781994909696 = 9458727^2 + 3844736^2 .

It is not a de Polignac number, because 104249511370225 - 2¹⁹ = 104249510845937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 663588685 + ... + 663745765.

Almost surely, 2^{104249511370225} is an apocalyptic number.

104249511370225 is the 10210265-th square number.

104249511370225 is the 5105133-rd centered octagonal number.

It is an amenable number.

104249511370225 is a deficient number, since it is larger than the sum of its proper divisors (35729481058514).

104249511370225 is an frugal number, since it uses more digits than its factorization.

104249511370225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314198 (or 157099 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 104249511370225 in words is "one hundred four trillion, two hundred forty-nine billion, five hundred eleven million, three hundred seventy thousand, two hundred twenty-five".