11000003 has 16 divisors (see below), whose sum is σ = 13893120. Its totient is φ = 8486016.

The previous prime is 10999997. The next prime is 11000027. The reversal of 11000003 is 30000011.

It is not a de Polignac number, because 11000003 - 2⁴ = 10999987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11000053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 728 + ... + 4746.

It is an arithmetic number, because the mean of its divisors is an integer number (868320).

Almost surely, 2^11000003 is an apocalyptic number.

11000003 is a deficient number, since it is larger than the sum of its proper divisors (2893117).

11000003 is a wasteful number, since it uses less digits than its factorization.

11000003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066.

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 11000003 is about 3316.6252426224. The cubic root of 11000003 is about 222.3980292749.

Adding to 11000003 its reverse (30000011), we get a palindrome (41000014).

The spelling of 11000003 in words is "eleven million, three", and thus it is an aban number and an uban number.