105003 has 8 divisors (see below), whose sum is σ = 155600. Its totient is φ = 69984.

The previous prime is 104999. The next prime is 105019. The reversal of 105003 is 300501.

It is not a de Polignac number, because 105003 - 2² = 104999 is a prime.

It is a super-2 number, since 2×105003² = 22051260018, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

105003 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (105023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1918 + ... + 1971.

It is an arithmetic number, because the mean of its divisors is an integer number (19450).

2¹⁰⁵⁰⁰³ is an apocalyptic number.

105003 is a deficient number, since it is larger than the sum of its proper divisors (50597).

105003 is an equidigital number, since it uses as much as digits as its factorization.

105003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 105003 is about 324.0416639878. The cubic root of 105003 is about 47.1773891031.

Adding to 105003 its reverse (300501), we get a palindrome (405504).

The spelling of 105003 in words is "one hundred five thousand, three".