105203 has 12 divisors (see below), whose sum is σ = 129960. Its totient is φ = 84672.

The previous prime is 105199. The next prime is 105211. The reversal of 105203 is 302501.

It is not a de Polignac number, because 105203 - 2² = 105199 is a prime.

It is a super-2 number, since 2×105203² = 22135342418, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 875 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (10830).

2¹⁰⁵²⁰³ is an apocalyptic number.

105203 is a deficient number, since it is larger than the sum of its proper divisors (24757).

105203 is a wasteful number, since it uses less digits than its factorization.

105203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 105203 is about 324.3501194697. The cubic root of 105203 is about 47.2073231480.

Adding to 105203 its reverse (302501), we get a palindrome (407704).

The spelling of 105203 in words is "one hundred five thousand, two hundred three".