105666 has 16 divisors (see below), whose sum is σ = 230688. Its totient is φ = 32000.

The previous prime is 105653. The next prime is 105667. The reversal of 105666 is 666501.

It is a super-2 number, since 2×105666² = 22330607112, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105667) 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, 735 + ... + 866.

It is an arithmetic number, because the mean of its divisors is an integer number (14418).

2¹⁰⁵⁶⁶⁶ is an apocalyptic number.

105666 is an abundant number, since it is smaller than the sum of its proper divisors (125022).

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

105666 is a wasteful number, since it uses less digits than its factorization.

105666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 105666 is about 325.0630708032. The cubic root of 105666 is about 47.2764751825.

It can be divided in two parts, 1056 and 66, that multiplied together give a palindrome (69696).

The spelling of 105666 in words is "one hundred five thousand, six hundred sixty-six".