104953321225 has 9 divisors (see below), whose sum is σ = 130144126933. Its totient is φ = 83961361120.

The previous prime is 104953321201. The next prime is 104953321241. The reversal of 104953321225 is 522123359401.

The square root of 104953321225 is 323965.

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 17689798009 + 87263523216 = 133003^2 + 295404^2 .

It is not a de Polignac number, because 104953321225 - 2³¹ = 102805837577 is a prime.

It is a super-2 number, since 2×104953321225² (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 (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1587429 + ... + 1652221.

Almost surely, 2^104953321225 is an apocalyptic number.

104953321225 is the 323965-th square number.

104953321225 is the 161983-rd centered octagonal number.

It is an amenable number.

104953321225 is a deficient number, since it is larger than the sum of its proper divisors (25190805708).

104953321225 is an frugal number, since it uses more digits than its factorization.

104953321225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129596 (or 64798 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 104953321225 in words is "one hundred four billion, nine hundred fifty-three million, three hundred twenty-one thousand, two hundred twenty-five".