103395 has 16 divisors (see below), whose sum is σ = 169632. Its totient is φ = 53760.

The previous prime is 103393. The next prime is 103399. The reversal of 103395 is 593301.

103395 = T₂₅ + T₂₆ + ... + T₈₅.

It is not a de Polignac number, because 103395 - 2¹ = 103393 is a prime.

103395 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103391) 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, 859 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

2¹⁰³³⁹⁵ is an apocalyptic number.

103395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103395 is a deficient number, since it is larger than the sum of its proper divisors (66237).

103395 is a wasteful number, since it uses less digits than its factorization.

103395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 103395 is about 321.5509290921. The cubic root of 103395 is about 46.9353267723.

Adding to 103395 its reverse (593301), we get a palindrome (696696).

It can be divided in two parts, 1033 and 95, that added together give a triangular number (1128 = T₄₇).

The spelling of 103395 in words is "one hundred three thousand, three hundred ninety-five".