105903 has 18 divisors (see below), whose sum is σ = 179192. Its totient is φ = 59040.

The previous prime is 105899. The next prime is 105907. The reversal of 105903 is 309501.

It is an interprime number because it is at equal distance from previous prime (105899) and next prime (105907).

It is not a de Polignac number, because 105903 - 2² = 105899 is a prime.

It is a super-2 number, since 2×105903² = 22430890818, which contains 22 as substring.

It is a Duffinian number.

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 105903.

It is not an unprimeable number, because it can be changed into a prime (105907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2563 + ... + 2603.

2¹⁰⁵⁹⁰³ is an apocalyptic number.

105903 is a deficient number, since it is larger than the sum of its proper divisors (73289).

105903 is an equidigital number, since it uses as much as digits as its factorization.

105903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 105903 is about 325.4274112609. The cubic root of 105903 is about 47.3117945161.

The spelling of 105903 in words is "one hundred five thousand, nine hundred three".