104444006561 has 2 divisors, whose sum is σ = 104444006562. Its totient is φ = 104444006560.

The previous prime is 104444006497. The next prime is 104444006573. The reversal of 104444006561 is 165600444401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98882575936 + 5561430625 = 314456^2 + 74575^2 .

It is a cyclic number.

It is not a de Polignac number, because 104444006561 - 2⁶ = 104444006497 is a prime.

It is a super-2 number, since 2×104444006561² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (104444006591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52222003280 + 52222003281.

It is an arithmetic number, because the mean of its divisors is an integer number (52222003281).

Almost surely, 2^104444006561 is an apocalyptic number.

It is an amenable number.

104444006561 is a deficient number, since it is larger than the sum of its proper divisors (1).

104444006561 is an equidigital number, since it uses as much as digits as its factorization.

104444006561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 104444006561 in words is "one hundred four billion, four hundred forty-four million, six thousand, five hundred sixty-one".