4006105693 has 2 divisors, whose sum is σ = 4006105694. Its totient is φ = 4006105692.

The previous prime is 4006105679. The next prime is 4006105703. The reversal of 4006105693 is 3965016004.

4006105693 is digitally balanced in base 3, 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., 3359013849 + 647091844 = 57957^2 + 25438^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4006105693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4006105093) 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, 2003052846 + 2003052847.

It is an arithmetic number, because the mean of its divisors is an integer number (2003052847).

Almost surely, 2^4006105693 is an apocalyptic number.

It is an amenable number.

4006105693 is a deficient number, since it is larger than the sum of its proper divisors (1).

4006105693 is an equidigital number, since it uses as much as digits as its factorization.

4006105693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 4006105693 is about 63293.8045388330. The cubic root of 4006105693 is about 1588.2083233191.

The spelling of 4006105693 in words is "four billion, six million, one hundred five thousand, six hundred ninety-three".