109785 has 16 divisors (see below), whose sum is σ = 189504. Its totient is φ = 53952.

The previous prime is 109751. The next prime is 109789. The reversal of 109785 is 587901.

It is not a de Polignac number, because 109785 - 2⁶ = 109721 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109785.

It is not an unprimeable number, because it can be changed into a prime (109789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (11844).

2¹⁰⁹⁷⁸⁵ is an apocalyptic number.

109785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

109785 is a deficient number, since it is larger than the sum of its proper divisors (79719).

109785 is a wasteful number, since it uses less digits than its factorization.

109785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584.

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 109785 is about 331.3381958060. The cubic root of 109785 is about 47.8829613839.

The spelling of 109785 in words is "one hundred nine thousand, seven hundred eighty-five".