101166 has 16 divisors (see below), whose sum is σ = 218064. Its totient is φ = 31104.

The previous prime is 101161. The next prime is 101173. The reversal of 101166 is 661101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101161) 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, 571 + ... + 726.

It is an arithmetic number, because the mean of its divisors is an integer number (13629).

2¹⁰¹¹⁶⁶ is an apocalyptic number.

101166 is an abundant number, since it is smaller than the sum of its proper divisors (116898).

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

101166 is a wasteful number, since it uses less digits than its factorization.

101166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 101166 is about 318.0660308804. The cubic root of 101166 is about 46.5955947625.

Adding to 101166 its reverse (661101), we get a palindrome (762267).

It can be divided in two parts, 10 and 1166, that added together give a triangular number (1176 = T₄₈).

The spelling of 101166 in words is "one hundred one thousand, one hundred sixty-six".