109917 has 20 divisors (see below), whose sum is σ = 174240. Its totient is φ = 68904.

The previous prime is 109913. The next prime is 109919. The reversal of 109917 is 719901.

It is not a de Polignac number, because 109917 - 2² = 109913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109917.

It is not an unprimeable number, because it can be changed into a prime (109913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1834 + ... + 1892.

It is an arithmetic number, because the mean of its divisors is an integer number (8712).

2¹⁰⁹⁹¹⁷ is an apocalyptic number.

It is an amenable number.

109917 is a deficient number, since it is larger than the sum of its proper divisors (64323).

109917 is an equidigital number, since it uses as much as digits as its factorization.

109917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 27.

The square root of 109917 is about 331.5373282151. The cubic root of 109917 is about 47.9021443914.

The spelling of 109917 in words is "one hundred nine thousand, nine hundred seventeen".