104741612892225 has 27 divisors (see below), whose sum is σ = 187604141609833. Its totient is φ = 55862111667840.

The previous prime is 104741612892211. The next prime is 104741612892227. The reversal of 104741612892225 is 522298216147401.

The square root of 104741612892225 is 10234335.

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

104741612892225 is a `hidden beast` number, since 1 + 0 + 47 + 41 + 61 + 289 + 2 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7849640561841 + 96891972330384 = 2801721^2 + 9843372^2 .

It is not a de Polignac number, because 104741612892225 - 2²³ = 104741604503617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104741612892227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 153173881 + ... + 153856169.

Almost surely, 2^{104741612892225} is an apocalyptic number.

104741612892225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

104741612892225 is the 10234335-th square number.

104741612892225 is the 5117168-th centered octagonal number.

It is an amenable number.

104741612892225 is a deficient number, since it is larger than the sum of its proper divisors (82862528717608).

104741612892225 is an frugal number, since it uses more digits than its factorization.

104741612892225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364594 (or 682297 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 104741612892225 in words is "one hundred four trillion, seven hundred forty-one billion, six hundred twelve million, eight hundred ninety-two thousand, two hundred twenty-five".