103965 has 16 divisors (see below), whose sum is σ = 172800. Its totient is φ = 53312.

The previous prime is 103963. The next prime is 103967. The reversal of 103965 is 569301.

It is an interprime number because it is at equal distance from previous prime (103963) and next prime (103967).

It is a cyclic number.

It is not a de Polignac number, because 103965 - 2¹ = 103963 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 (103963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2¹⁰³⁹⁶⁵ is an apocalyptic number.

103965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103965 is a deficient number, since it is larger than the sum of its proper divisors (68835).

103965 is a wasteful number, since it uses less digits than its factorization.

103965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 103965 is about 322.4360401692. The cubic root of 103965 is about 47.0214177321.

It can be divided in two parts, 10396 and 5, that added together give a palindrome (10401).

The spelling of 103965 in words is "one hundred three thousand, nine hundred sixty-five".