105113209 has 2 divisors, whose sum is σ = 105113210. Its totient is φ = 105113208.

The previous prime is 105113191. The next prime is 105113231. The reversal of 105113209 is 902311501.

It is an a-pointer prime, because the next prime (105113231) can be obtained adding 105113209 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80640400 + 24472809 = 8980^2 + 4947^2 .

It is a cyclic number.

It is not a de Polignac number, because 105113209 - 2¹¹ = 105111161 is a prime.

It is a super-2 number, since 2×105113209² = 22097573412555362, 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 105113209.

It is not a weakly prime, because it can be changed into another prime (105113249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52556604 + 52556605.

It is an arithmetic number, because the mean of its divisors is an integer number (52556605).

Almost surely, 2^105113209 is an apocalyptic number.

It is an amenable number.

105113209 is a deficient number, since it is larger than the sum of its proper divisors (1).

105113209 is an equidigital number, since it uses as much as digits as its factorization.

105113209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 105113209 is about 10252.4733113527. The cubic root of 105113209 is about 471.9388880589.

The spelling of 105113209 in words is "one hundred five million, one hundred thirteen thousand, two hundred nine".