10005845821 has 2 divisors, whose sum is σ = 10005845822. Its totient is φ = 10005845820.

The previous prime is 10005845809. The next prime is 10005845903. The reversal of 10005845821 is 12854850001.

10005845821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5859902500 + 4145943321 = 76550^2 + 64389^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005845821 - 2⁹ = 10005845309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005845221) 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, 5002922910 + 5002922911.

It is an arithmetic number, because the mean of its divisors is an integer number (5002922911).

Almost surely, 2^10005845821 is an apocalyptic number.

It is an amenable number.

10005845821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005845821 is an equidigital number, since it uses as much as digits as its factorization.

10005845821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12800, while the sum is 34.

The spelling of 10005845821 in words is "ten billion, five million, eight hundred forty-five thousand, eight hundred twenty-one".