104219577022401 has 15 divisors (see below), whose sum is σ = 155686172062993. Its totient is φ = 69479656762140.

The previous prime is 104219577022391. The next prime is 104219577022433. The reversal of 104219577022401 is 104220775912401.

The square root of 104219577022401 is 10208799.

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

104219577022401 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 19 + 577 + 0 + 22 + 40 + 1 = 666.

It is not a de Polignac number, because 104219577022401 - 2⁷ = 104219577022273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104219577022481) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 91312036 + ... + 92446346.

Almost surely, 2^{104219577022401} is an apocalyptic number.

104219577022401 is the 10208799-th square number.

104219577022401 is the 5104400-th centered octagonal number.

It is an amenable number.

104219577022401 is a deficient number, since it is larger than the sum of its proper divisors (51466595040592).

104219577022401 is an frugal number, since it uses more digits than its factorization.

104219577022401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268634 (or 1134314 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 104219577022401 in words is "one hundred four trillion, two hundred nineteen billion, five hundred seventy-seven million, twenty-two thousand, four hundred one".