10006109 has 2 divisors, whose sum is σ = 10006110. Its totient is φ = 10006108.

The previous prime is 10006097. The next prime is 10006111. The reversal of 10006109 is 90160001.

10006109 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., 5152900 + 4853209 = 2270^2 + 2203^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10006109 is a prime.

It is a Sophie Germain prime.

Together with 10006111, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10026109) 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 as a sum of consecutive naturals, namely, 5003054 + 5003055.

It is an arithmetic number, because the mean of its divisors is an integer number (5003055).

Almost surely, 2^10006109 is an apocalyptic number.

It is an amenable number.

10006109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006109 is an equidigital number, since it uses as much as digits as its factorization.

10006109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 10006109 is about 3163.2434304049. The cubic root of 10006109 is about 215.4873315443.

The spelling of 10006109 in words is "ten million, six thousand, one hundred nine".