109845 has 12 divisors (see below), whose sum is σ = 190476. Its totient is φ = 58560.

The previous prime is 109843. The next prime is 109847. The reversal of 109845 is 548901.

It is an interprime number because it is at equal distance from previous prime (109843) and next prime (109847).

It can be written as a sum of positive squares in 2 ways, for example, as 23409 + 86436 = 153^2 + 294^2 .

It is not a de Polignac number, because 109845 - 2¹ = 109843 is a prime.

109845 is a lucky 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 109845.

It is not an unprimeable number, because it can be changed into a prime (109841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1176 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (15873).

2¹⁰⁹⁸⁴⁵ is an apocalyptic number.

109845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

109845 is a deficient number, since it is larger than the sum of its proper divisors (80631).

109845 is a wasteful number, since it uses less digits than its factorization.

109845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 109845 is about 331.4287253694. The cubic root of 109845 is about 47.8916828379.

The spelling of 109845 in words is "one hundred nine thousand, eight hundred forty-five".