10906209 has 48 divisors (see below), whose sum is σ = 17971200. Its totient is φ = 6339168.

The previous prime is 10906199. The next prime is 10906211. The reversal of 10906209 is 90260901.

It is a happy number.

10906209 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 10906209 - 2⁵ = 10906177 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10906249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184822 + ... + 184880.

It is an arithmetic number, because the mean of its divisors is an integer number (374400).

Almost surely, 2^10906209 is an apocalyptic number.

10906209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10906209 is a deficient number, since it is larger than the sum of its proper divisors (7064991).

10906209 is a wasteful number, since it uses less digits than its factorization.

10906209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10906209 is about 3302.4549959083. The cubic root of 10906209 is about 221.7641151678.

The spelling of 10906209 in words is "ten million, nine hundred six thousand, two hundred nine".