10105783801 has 2 divisors, whose sum is σ = 10105783802. Its totient is φ = 10105783800.

The previous prime is 10105783759. The next prime is 10105783811. The reversal of 10105783801 is 10838750101.

10105783801 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 can be written as a sum of positive squares in only one way, i.e., 6541574400 + 3564209401 = 80880^2 + 59701^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105783801 - 2⁷ = 10105783673 is a prime.

It is not a weakly prime, because it can be changed into another prime (10105783811) 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, 5052891900 + 5052891901.

It is an arithmetic number, because the mean of its divisors is an integer number (5052891901).

Almost surely, 2^10105783801 is an apocalyptic number.

It is an amenable number.

10105783801 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105783801 is an equidigital number, since it uses as much as digits as its factorization.

10105783801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 34.

The spelling of 10105783801 in words is "ten billion, one hundred five million, seven hundred eighty-three thousand, eight hundred one".