104400625617 has 12 divisors (see below), whose sum is σ = 156000935220. Its totient is φ = 67200402528.

The previous prime is 104400625603. The next prime is 104400625639. The reversal of 104400625617 is 716526004401.

104400625617 is a `hidden beast` number, since 10 + 4 + 4 + 0 + 0 + 6 + 25 + 617 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59880047616 + 44520578001 = 244704^2 + 210999^2 .

It is not a de Polignac number, because 104400625617 - 2²⁶ = 104333516753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104400645617) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 200000938 + ... + 200001459.

It is an arithmetic number, because the mean of its divisors is an integer number (13000077935).

Almost surely, 2^104400625617 is an apocalyptic number.

It is an amenable number.

104400625617 is a deficient number, since it is larger than the sum of its proper divisors (51600309603).

104400625617 is a wasteful number, since it uses less digits than its factorization.

104400625617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400002432 (or 400002429 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 104400625617 in words is "one hundred four billion, four hundred million, six hundred twenty-five thousand, six hundred seventeen".