10806226209 has 9 divisors (see below), whose sum is σ = 15609443889. Its totient is φ = 7203942900.

The previous prime is 10806226169. The next prime is 10806226217. The reversal of 10806226209 is 90262260801.

It is a happy number.

The square root of 10806226209 is 103953.

It is a perfect power (a square), and thus also a powerful number.

10806226209 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 6 + 22 + 620 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10806226209 - 2¹⁷ = 10806095137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10806226259) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 294534 + ... + 329184.

Almost surely, 2^10806226209 is an apocalyptic number.

10806226209 is the 103953-rd square number.

10806226209 is the 51977-th centered octagonal number.

It is an amenable number.

10806226209 is a deficient number, since it is larger than the sum of its proper divisors (4803217680).

10806226209 is an frugal number, since it uses more digits than its factorization.

10806226209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69308 (or 34654 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 10806226209 by its sum of digits (36), we get a square (389024143524 = 623718²).

Multiplying 10806226209 by its product of nonzero digits (20736), we get a square (224077906669824 = 14969232²).

The spelling of 10806226209 in words is "ten billion, eight hundred six million, two hundred twenty-six thousand, two hundred nine".