100005003 has 16 divisors (see below), whose sum is σ = 169320960. Its totient is φ = 57145608.

The previous prime is 100005001. The next prime is 100005023. The reversal of 100005003 is 300500001.

It is not a de Polignac number, because 100005003 - 2¹ = 100005001 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100005001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264375 + ... + 264752.

It is an arithmetic number, because the mean of its divisors is an integer number (10582560).

Almost surely, 2^100005003 is an apocalyptic number.

100005003 is a deficient number, since it is larger than the sum of its proper divisors (69315957).

100005003 is an equidigital number, since it uses as much as digits as its factorization.

100005003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529143 (or 529137 counting only the distinct ones).

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

The square root of 100005003 is about 10000.2501468713. The cubic root of 100005003 is about 464.1666238552.

Adding to 100005003 its reverse (300500001), we get a palindrome (400505004).

The spelling of 100005003 in words is "one hundred million, five thousand, three".