10003105 has 12 divisors (see below), whose sum is σ = 13963860. Its totient is φ = 6859104.

The previous prime is 10003087. The next prime is 10003121. The reversal of 10003105 is 50130001.

It can be written as a sum of positive squares in 2 ways, for example, as 7800849 + 2202256 = 2793^2 + 1484^2 .

It is not a de Polignac number, because 10003105 - 2⁵ = 10003073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10003091 and 10003100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20170 + ... + 20659.

It is an arithmetic number, because the mean of its divisors is an integer number (1163655).

Almost surely, 2^10003105 is an apocalyptic number.

It is an amenable number.

10003105 is a deficient number, since it is larger than the sum of its proper divisors (3960755).

10003105 is an equidigital number, since it uses as much as digits as its factorization.

10003105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40848 (or 40841 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 10003105 is about 3162.7685656715. The cubic root of 10003105 is about 215.4657650947.

Adding to 10003105 its reverse (50130001), we get a palindrome (60133106).

The spelling of 10003105 in words is "ten million, three thousand, one hundred five".