105117171200589 has 4 divisors (see below), whose sum is σ = 140156228267456. Its totient is φ = 70078114133724.

The previous prime is 105117171200581. The next prime is 105117171200603. The reversal of 105117171200589 is 985002171711501.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 105117171200589 - 2³ = 105117171200581 is a prime.

It is a super-2 number, since 2×105117171200589² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105117171200581) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17519528533429 + ... + 17519528533434.

It is an arithmetic number, because the mean of its divisors is an integer number (35039057066864).

Almost surely, 2^{105117171200589} is an apocalyptic number.

It is an amenable number.

105117171200589 is a deficient number, since it is larger than the sum of its proper divisors (35039057066867).

105117171200589 is an equidigital number, since it uses as much as digits as its factorization.

105117171200589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35039057066866.

The product of its (nonzero) digits is 176400, while the sum is 48.

The spelling of 105117171200589 in words is "one hundred five trillion, one hundred seventeen billion, one hundred seventy-one million, two hundred thousand, five hundred eighty-nine".