104506117312275 has 72 divisors (see below), whose sum is σ = 214084552830720. Its totient is φ = 47738004073920.

The previous prime is 104506117312243. The next prime is 104506117312291. The reversal of 104506117312275 is 572213711605401.

104506117312275 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 0 + 61 + 1 + 7 + 312 + 275 = 666.

It is not a de Polignac number, because 104506117312275 - 2⁵ = 104506117312243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 104506117312275.

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 71 ways as a sum of consecutive naturals, for example, 23075377 + ... + 27230226.

Almost surely, 2^{104506117312275} is an apocalyptic number.

104506117312275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

104506117312275 is an abundant number, since it is smaller than the sum of its proper divisors (109578435518445).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104506117312275 is a wasteful number, since it uses less digits than its factorization.

104506117312275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50306945 (or 50306937 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

Adding to 104506117312275 its reverse (572213711605401), we get a palindrome (676719828917676).

The spelling of 104506117312275 in words is "one hundred four trillion, five hundred six billion, one hundred seventeen million, three hundred twelve thousand, two hundred seventy-five".