104753238417 has 90 divisors (see below), whose sum is σ = 168547603158. Its totient is φ = 64818496512.

The previous prime is 104753238407. The next prime is 104753238461. The reversal of 104753238417 is 714832357401.

104753238417 is a `hidden beast` number, since 1 + 0 + 47 + 532 + 38 + 41 + 7 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13138661376 + 91614577041 = 114624^2 + 302679^2 .

It is not a de Polignac number, because 104753238417 - 2¹⁴ = 104753222033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104753238407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 526398084 + ... + 526398282.

Almost surely, 2^104753238417 is an apocalyptic number.

104753238417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

104753238417 is a deficient number, since it is larger than the sum of its proper divisors (63794364741).

104753238417 is an equidigital number, since it uses as much as digits as its factorization.

104753238417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 104753238417 in words is "one hundred four billion, seven hundred fifty-three million, two hundred thirty-eight thousand, four hundred seventeen".