105008589017 has 8 divisors (see below), whose sum is σ = 110549345760. Its totient is φ = 99469231200.

The previous prime is 105008589013. The next prime is 105008589029. The reversal of 105008589017 is 710985800501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105008589017 - 2² = 105008589013 is a prime.

It is a super-2 number, since 2×105008589017² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105008589013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193859 + ... + 497592.

It is an arithmetic number, because the mean of its divisors is an integer number (13818668220).

Almost surely, 2^105008589017 is an apocalyptic number.

It is an amenable number.

105008589017 is a deficient number, since it is larger than the sum of its proper divisors (5540756743).

105008589017 is an equidigital number, since it uses as much as digits as its factorization.

105008589017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699463.

The product of its (nonzero) digits is 100800, while the sum is 44.

The spelling of 105008589017 in words is "one hundred five billion, eight million, five hundred eighty-nine thousand, seventeen".