109965 has 8 divisors (see below), whose sum is σ = 175968. Its totient is φ = 58640.

The previous prime is 109961. The next prime is 109987. The reversal of 109965 is 569901.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 109965 - 2² = 109961 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3651 + ... + 3680.

It is an arithmetic number, because the mean of its divisors is an integer number (21996).

2¹⁰⁹⁹⁶⁵ is an apocalyptic number.

109965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

109965 is a deficient number, since it is larger than the sum of its proper divisors (66003).

109965 is an equidigital number, since it uses as much as digits as its factorization.

109965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7339.

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 109965 is about 331.6097103524. The cubic root of 109965 is about 47.9091162226.

The spelling of 109965 in words is "one hundred nine thousand, nine hundred sixty-five".