108966 has 32 divisors (see below), whose sum is σ = 258048. Its totient is φ = 30240.

The previous prime is 108961. The next prime is 108967. The reversal of 108966 is 669801.

It is a Curzon number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108961) by changing a digit.

108966 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 15 ways as a sum of consecutive naturals, for example, 795 + ... + 921.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2¹⁰⁸⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129024).

108966 is an abundant number, since it is smaller than the sum of its proper divisors (149082).

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

108966 is a wasteful number, since it uses less digits than its factorization.

108966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 108966 is about 330.0999848531. The cubic root of 108966 is about 47.7635945321.

The spelling of 108966 in words is "one hundred eight thousand, nine hundred sixty-six".