109395 has 48 divisors (see below), whose sum is σ = 235872. Its totient is φ = 46080.

The previous prime is 109391. The next prime is 109397. The reversal of 109395 is 593901.

109395 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 109395 - 2² = 109391 is a prime.

It is a nialpdrome in base 11.

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 109395.

It is not an unprimeable number, because it can be changed into a prime (109391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6427 + ... + 6443.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

2¹⁰⁹³⁹⁵ is an apocalyptic number.

109395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

109395 is an abundant number, since it is smaller than the sum of its proper divisors (126477).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109395 is a wasteful number, since it uses less digits than its factorization.

109395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 109395 is about 330.7491496588. The cubic root of 109395 is about 47.8261943344.

Multiplying 109395 by its sum of digits (27), we get a triangular number (2953665 = T₂₄₃₀).

The spelling of 109395 in words is "one hundred nine thousand, three hundred ninety-five".