109776 has 20 divisors (see below), whose sum is σ = 283712. Its totient is φ = 36576.

The previous prime is 109751. The next prime is 109789. The reversal of 109776 is 677901.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

109776 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 3 ways as a sum of consecutive naturals, for example, 1096 + ... + 1191.

2¹⁰⁹⁷⁷⁶ is an apocalyptic number.

109776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

109776 is an abundant number, since it is smaller than the sum of its proper divisors (173936).

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

109776 is a wasteful number, since it uses less digits than its factorization.

109776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 109776 is about 331.3246142381. The cubic root of 109776 is about 47.8816528918.

Subtracting from 109776 its sum of digits (30), we obtain a triangular number (109746 = T₄₆₈).

The spelling of 109776 in words is "one hundred nine thousand, seven hundred seventy-six".