17105000905 has 16 divisors (see below), whose sum is σ = 20640988224. Its totient is φ = 13607455680.

The previous prime is 17105000903. The next prime is 17105000923. The reversal of 17105000905 is 50900050171.

It is not a de Polignac number, because 17105000905 - 2¹ = 17105000903 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17105000903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1347247 + ... + 1359883.

It is an arithmetic number, because the mean of its divisors is an integer number (1290061764).

Almost surely, 2^17105000905 is an apocalyptic number.

It is an amenable number.

17105000905 is a deficient number, since it is larger than the sum of its proper divisors (3535987319).

17105000905 is a wasteful number, since it uses less digits than its factorization.

17105000905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14136.

The product of its (nonzero) digits is 1575, while the sum is 28.

The spelling of 17105000905 in words is "seventeen billion, one hundred five million, nine hundred five", and thus it is an aban number.