103875 has 16 divisors (see below), whose sum is σ = 173472. Its totient is φ = 55200.

The previous prime is 103867. The next prime is 103889. The reversal of 103875 is 578301.

It is not a de Polignac number, because 103875 - 2³ = 103867 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

103875 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (10842).

2¹⁰³⁸⁷⁵ is an apocalyptic number.

103875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103875 is a deficient number, since it is larger than the sum of its proper divisors (69597).

103875 is an equidigital number, since it uses as much as digits as its factorization.

103875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 103875 is about 322.2964473897. The cubic root of 103875 is about 47.0078453781.

The spelling of 103875 in words is "one hundred three thousand, eight hundred seventy-five".