109305 has 24 divisors (see below), whose sum is σ = 217152. Its totient is φ = 49824.

The previous prime is 109303. The next prime is 109313. The reversal of 109305 is 503901.

It is not a de Polignac number, because 109305 - 2¹ = 109303 is a prime.

It is a Curzon number.

109305 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (109303) 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 23 ways as a sum of consecutive naturals, for example, 142 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (9048).

2¹⁰⁹³⁰⁵ is an apocalyptic number.

109305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

109305 is a deficient number, since it is larger than the sum of its proper divisors (107847).

109305 is a wasteful number, since it uses less digits than its factorization.

109305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 109305 is about 330.6130668924. The cubic root of 109305 is about 47.8130750924.

It can be divided in two parts, 109 and 305, that added together give a palindrome (414).

The spelling of 109305 in words is "one hundred nine thousand, three hundred five".