10005072003 has 24 divisors (see below), whose sum is σ = 15297422400. Its totient is φ = 6283671984.

The previous prime is 10005072001. The next prime is 10005072043. The reversal of 10005072003 is 30027050001.

It is not a de Polignac number, because 10005072003 - 2¹ = 10005072001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10005072001) 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 23 ways as a sum of consecutive naturals, for example, 132825 + ... + 194042.

It is an arithmetic number, because the mean of its divisors is an integer number (637392600).

Almost surely, 2^10005072003 is an apocalyptic number.

10005072003 is a deficient number, since it is larger than the sum of its proper divisors (5292350397).

10005072003 is a wasteful number, since it uses less digits than its factorization.

10005072003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327071 (or 327068 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The spelling of 10005072003 in words is "ten billion, five million, seventy-two thousand, three".