104186829768025 has 27 divisors (see below), whose sum is σ = 130852770734973. Its totient is φ = 82291222665600.

The previous prime is 104186829767981. The next prime is 104186829768029. The reversal of 104186829768025 is 520867928681401.

The square root of 104186829768025 is 10207195.

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 14621729402569 + 89565100365456 = 3823837^2 + 9463884^2 .

It is not a de Polignac number, because 104186829768025 - 2⁹ = 104186829767513 is a prime.

It is a super-2 number, since 2×104186829768025² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104186829768029) 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, 4031829105 + ... + 4031854945.

Almost surely, 2^{104186829768025} is an apocalyptic number.

104186829768025 is the 10207195-th square number.

104186829768025 is the 5103598-th centered octagonal number.

It is an amenable number.

104186829768025 is a deficient number, since it is larger than the sum of its proper divisors (26665940966948).

104186829768025 is an frugal number, since it uses more digits than its factorization.

104186829768025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51850 (or 25925 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 67.

The spelling of 104186829768025 in words is "one hundred four trillion, one hundred eighty-six billion, eight hundred twenty-nine million, seven hundred sixty-eight thousand, twenty-five".