109089 has 24 divisors (see below), whose sum is σ = 179712. Its totient is φ = 63360.

The previous prime is 109073. The next prime is 109097. The reversal of 109089 is 980901.

It is not a de Polignac number, because 109089 - 2⁴ = 109073 is a prime.

109089 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109049) 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 23 ways as a sum of consecutive naturals, for example, 3504 + ... + 3534.

It is an arithmetic number, because the mean of its divisors is an integer number (7488).

2¹⁰⁹⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

109089 is a deficient number, since it is larger than the sum of its proper divisors (70623).

109089 is a wasteful number, since it uses less digits than its factorization.

109089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 109089 is about 330.2862394954. The cubic root of 109089 is about 47.7815595028.

The spelling of 109089 in words is "one hundred nine thousand, eighty-nine".