1000100003 has 32 divisors (see below), whose sum is σ = 1223631360. Its totient is φ = 799223040.

The previous prime is 1000099999. The next prime is 1000100009. The reversal of 1000100003 is 3000010001.

1000100003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1000100003 - 2² = 1000099999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000100003.

It is not an unprimeable number, because it can be changed into a prime (1000100009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 890000 + ... + 891122.

It is an arithmetic number, because the mean of its divisors is an integer number (38238480).

Almost surely, 2^1000100003 is an apocalyptic number.

1000100003 is a deficient number, since it is larger than the sum of its proper divisors (223531357).

1000100003 is a wasteful number, since it uses less digits than its factorization.

1000100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307.

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

The square root of 1000100003 is about 31624.3577484192. The cubic root of 1000100003 is about 1000.0333332222.

Adding to 1000100003 its reverse (3000010001), we get a palindrome (4000110004).

The spelling of 1000100003 in words is "one billion, one hundred thousand, three".