104332222442205 has 24 divisors (see below), whose sum is σ = 180844621310808. Its totient is φ = 55643205073536.

The previous prime is 104332222442159. The next prime is 104332222442251. The reversal of 104332222442205 is 502244222233401.

104332222442205 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 3 + 2 + 2 + 2 + 2 + 442 + 205 = 666.

It is an interprime number because it is at equal distance from previous prime (104332222442159) and next prime (104332222442251).

It can be written as a sum of positive squares in 4 ways, for example, as 2595688320996 + 101736534121209 = 1611114^2 + 10086453^2 .

It is not a de Polignac number, because 104332222442205 - 2⁸ = 104332222441949 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 104332222442205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9550662 + ... + 17317031.

It is an arithmetic number, because the mean of its divisors is an integer number (7535192554617).

Almost surely, 2^{104332222442205} is an apocalyptic number.

104332222442205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104332222442205 is a deficient number, since it is larger than the sum of its proper divisors (76512398868603).

104332222442205 is a wasteful number, since it uses less digits than its factorization.

104332222442205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26953997 (or 26953994 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 104332222442205 its reverse (502244222233401), we get a palindrome (606576444675606).

The spelling of 104332222442205 in words is "one hundred four trillion, three hundred thirty-two billion, two hundred twenty-two million, four hundred forty-two thousand, two hundred five".