17105164232 has 64 divisors (see below), whose sum is σ = 35565295920. Its totient is φ = 7661288448.

The previous prime is 17105164229. The next prime is 17105164277. The reversal of 17105164232 is 23246150171.

It can be written as a sum of positive squares in 8 ways, for example, as 8145784516 + 8959379716 = 90254^2 + 94654^2 .

It is an unprimeable number.

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, 1522058 + ... + 1533254.

Almost surely, 2^17105164232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17105164232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17782647960).

17105164232 is an abundant number, since it is smaller than the sum of its proper divisors (18460131688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17105164232 is a wasteful number, since it uses less digits than its factorization.

17105164232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11650 (or 11646 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 17105164232 in words is "seventeen billion, one hundred five million, one hundred sixty-four thousand, two hundred thirty-two".