100166 has 16 divisors (see below), whose sum is σ = 170640. Its totient is φ = 43680.

The previous prime is 100153. The next prime is 100169. The reversal of 100166 is 661001.

It is a self number, because there is not a number n which added to its sum of digits gives 100166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100169) by changing a digit.

100166 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 560 + ... + 716.

It is an arithmetic number, because the mean of its divisors is an integer number (10665).

2¹⁰⁰¹⁶⁶ is an apocalyptic number.

100166 is a deficient number, since it is larger than the sum of its proper divisors (70474).

100166 is a wasteful number, since it uses less digits than its factorization.

100166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199.

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

The square root of 100166 is about 316.4901262283. The cubic root of 100166 is about 46.4415575959.

Adding to 100166 its reverse (661001), we get a palindrome (761167).

It can be divided in two parts, 1001 and 66, that multiplied together give a palindrome (66066).

The spelling of 100166 in words is "one hundred thousand, one hundred sixty-six".