10006909 has 16 divisors (see below), whose sum is σ = 11710080. Its totient is φ = 8458560.

The previous prime is 10006883. The next prime is 10006933. The reversal of 10006909 is 90960001.

10006909 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10006909 - 2⁷ = 10006781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006109) 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 in 15 ways as a sum of consecutive naturals, for example, 8827 + ... + 9895.

It is an arithmetic number, because the mean of its divisors is an integer number (731880).

Almost surely, 2^10006909 is an apocalyptic number.

It is an amenable number.

10006909 is a deficient number, since it is larger than the sum of its proper divisors (1703171).

10006909 is a wasteful number, since it uses less digits than its factorization.

10006909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140.

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 10006909 is about 3163.3698803649. The cubic root of 10006909 is about 215.4930742118.

The spelling of 10006909 in words is "ten million, six thousand, nine hundred nine".