105664189 has 2 divisors, whose sum is σ = 105664190. Its totient is φ = 105664188.

The previous prime is 105664183. The next prime is 105664211. The reversal of 105664189 is 981466501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104898564 + 765625 = 10242^2 + 875^2 .

It is an emirp because it is prime and its reverse (981466501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105664189 is a prime.

It is a super-4 number, since 4×105664189⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105664183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52832094 + 52832095.

It is an arithmetic number, because the mean of its divisors is an integer number (52832095).

Almost surely, 2^105664189 is an apocalyptic number.

It is an amenable number.

105664189 is a deficient number, since it is larger than the sum of its proper divisors (1).

105664189 is an equidigital number, since it uses as much as digits as its factorization.

105664189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 105664189 is about 10279.3087802634. The cubic root of 105664189 is about 472.7620509188.

The spelling of 105664189 in words is "one hundred five million, six hundred sixty-four thousand, one hundred eighty-nine".