10517166 has 24 divisors (see below), whose sum is σ = 24859224. Its totient is φ = 3186960.

The previous prime is 10517147. The next prime is 10517167. The reversal of 10517166 is 66171501.

10517166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10517166² = 221221561343112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10517167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26361 + ... + 26756.

It is an arithmetic number, because the mean of its divisors is an integer number (1035801).

Almost surely, 2^10517166 is an apocalyptic number.

10517166 is an abundant number, since it is smaller than the sum of its proper divisors (14342058).

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

10517166 is a wasteful number, since it uses less digits than its factorization.

10517166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53136 (or 53133 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 10517166 is about 3243.0180388027. The cubic root of 10517166 is about 219.0952234926.

Adding to 10517166 its reverse (66171501), we get a palindrome (76688667).

It can be divided in two parts, 105 and 17166, that added together give a palindrome (17271).

The spelling of 10517166 in words is "ten million, five hundred seventeen thousand, one hundred sixty-six".