109764 has 18 divisors (see below), whose sum is σ = 277550. Its totient is φ = 36576.

The previous prime is 109751. The next prime is 109789. The reversal of 109764 is 467901.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 36864 = 270^2 + 192^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109764.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1489 + ... + 1560.

2¹⁰⁹⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

109764 is an abundant number, since it is smaller than the sum of its proper divisors (167786).

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

109764 is a wasteful number, since it uses less digits than its factorization.

109764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 109764 is about 331.3065046147. The cubic root of 109764 is about 47.8799081244.

The spelling of 109764 in words is "one hundred nine thousand, seven hundred sixty-four".