10166013 has 32 divisors (see below), whose sum is σ = 17700480. Its totient is φ = 5685120.

The previous prime is 10166011. The next prime is 10166029. The reversal of 10166013 is 31066101.

10166013 is a `hidden beast` number, since 1 + 0 + 1 + 660 + 1 + 3 = 666.

It is not a de Polignac number, because 10166013 - 2¹ = 10166011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2545 + ... + 5177.

It is an arithmetic number, because the mean of its divisors is an integer number (553140).

Almost surely, 2^10166013 is an apocalyptic number.

10166013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10166013 is a deficient number, since it is larger than the sum of its proper divisors (7534467).

10166013 is a wasteful number, since it uses less digits than its factorization.

10166013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10166013 is about 3188.4185735251. The cubic root of 10166013 is about 216.6291456395.

The spelling of 10166013 in words is "ten million, one hundred sixty-six thousand, thirteen".