105664209 has 16 divisors (see below), whose sum is σ = 161157120. Its totient is φ = 60325200.

The previous prime is 105664189. The next prime is 105664211. The reversal of 105664209 is 902466501.

It is not a de Polignac number, because 105664209 - 2⁸ = 105663953 is a prime.

It is a super-2 number, since 2×105664209² = 22329850127191362, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105664209.

It is not an unprimeable number, because it can be changed into a prime (105664249) 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, 39682 + ... + 42260.

It is an arithmetic number, because the mean of its divisors is an integer number (10072320).

Almost surely, 2^105664209 is an apocalyptic number.

It is an amenable number.

105664209 is a deficient number, since it is larger than the sum of its proper divisors (55492911).

105664209 is a wasteful number, since it uses less digits than its factorization.

105664209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 105664209 is about 10279.3097530914. The cubic root of 105664209 is about 472.7620807467.

The spelling of 105664209 in words is "one hundred five million, six hundred sixty-four thousand, two hundred nine".