10166 has 16 divisors (see below), whose sum is σ = 18144. Its totient is φ = 4224.

The previous prime is 10163. The next prime is 10169. The reversal of 10166 is 66101.

10166 is nontrivially palindromic in base 4.

It is an interprime number because it is at equal distance from previous prime (10163) and next prime (10169).

It is a Curzon number.

It is a plaindrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 10166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431 + ... + 453.

It is an arithmetic number, because the mean of its divisors is an integer number (1134).

2¹⁰¹⁶⁶ is an apocalyptic number.

10166 is a deficient number, since it is larger than the sum of its proper divisors (7978).

10166 is a wasteful number, since it uses less digits than its factorization.

10166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 10166 is about 100.8265837961. The cubic root of 10166 is about 21.6629053300.

Adding to 10166 its reverse (66101), we get a palindrome (76267).

It can be divided in two parts, 101 and 66, that multiplied together give a palindrome (6666).

The spelling of 10166 in words is "ten thousand, one hundred sixty-six".