17105164193 has 16 divisors (see below), whose sum is σ = 20352560256. Its totient is φ = 14214478080.

The previous prime is 17105164189. The next prime is 17105164213. The reversal of 17105164193 is 39146150171.

It is a cyclic number.

It is not a de Polignac number, because 17105164193 - 2² = 17105164189 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17105164133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1677503 + ... + 1687668.

It is an arithmetic number, because the mean of its divisors is an integer number (1272035016).

Almost surely, 2^17105164193 is an apocalyptic number.

17105164193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

17105164193 is a deficient number, since it is larger than the sum of its proper divisors (3247396063).

17105164193 is a wasteful number, since it uses less digits than its factorization.

17105164193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365224.

The product of its (nonzero) digits is 22680, while the sum is 38.

The spelling of 17105164193 in words is "seventeen billion, one hundred five million, one hundred sixty-four thousand, one hundred ninety-three".