104206959328761 has 9 divisors (see below), whose sum is σ = 150521207710341. Its totient is φ = 69471285802812.

The previous prime is 104206959328753. The next prime is 104206959328789. The reversal of 104206959328761 is 167823959602401.

The square root of 104206959328761 is 10208181.

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

104206959328761 is a `hidden beast` number, since 1 + 0 + 4 + 206 + 9 + 5 + 93 + 287 + 61 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 104206959328761 - 2³ = 104206959328753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104206959328721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28923180 + ... + 32325906.

It is a 2-persistent number, because it is pandigital, and so is 2⋅104206959328761 = 208413918657522, but 3⋅104206959328761 = 312620877986283 is not.

Almost surely, 2^{104206959328761} is an apocalyptic number.

104206959328761 is the 10208181-st square number.

104206959328761 is the 5104091-st centered octagonal number.

It is an amenable number.

104206959328761 is a deficient number, since it is larger than the sum of its proper divisors (46314248381580).

104206959328761 is an frugal number, since it uses more digits than its factorization.

104206959328761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6805460 (or 3402730 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 104206959328761 in words is "one hundred four trillion, two hundred six billion, nine hundred fifty-nine million, three hundred twenty-eight thousand, seven hundred sixty-one".