109664 has 24 divisors (see below), whose sum is σ = 226800. Its totient is φ = 52096.

The previous prime is 109663. The next prime is 109673. The reversal of 109664 is 466901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 662 + ... + 810.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹⁰⁹⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400).

109664 is an abundant number, since it is smaller than the sum of its proper divisors (117136).

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

109664 is a wasteful number, since it uses less digits than its factorization.

109664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 109664 is about 331.1555525731. The cubic root of 109664 is about 47.8653634480.

The spelling of 109664 in words is "one hundred nine thousand, six hundred sixty-four".