10005845903 has 2 divisors, whose sum is σ = 10005845904. Its totient is φ = 10005845902.

The previous prime is 10005845821. The next prime is 10005845909. The reversal of 10005845903 is 30954850001.

10005845903 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10005845903 - 2¹⁸ = 10005583759 is a prime.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005845909) 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 as a sum of consecutive naturals, namely, 5002922951 + 5002922952.

It is an arithmetic number, because the mean of its divisors is an integer number (5002922952).

Almost surely, 2^10005845903 is an apocalyptic number.

10005845903 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005845903 is an equidigital number, since it uses as much as digits as its factorization.

10005845903 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 10005845903 in words is "ten billion, five million, eight hundred forty-five thousand, nine hundred three".