105189307 has 2 divisors, whose sum is σ = 105189308. Its totient is φ = 105189306.

The previous prime is 105189299. The next prime is 105189317. The reversal of 105189307 is 703981501.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (703981501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105189307 - 2³ = 105189299 is a prime.

It is a super-2 number, since 2×105189307² = 22129580614280498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105189317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52594653 + 52594654.

It is an arithmetic number, because the mean of its divisors is an integer number (52594654).

Almost surely, 2^105189307 is an apocalyptic number.

105189307 is a deficient number, since it is larger than the sum of its proper divisors (1).

105189307 is an equidigital number, since it uses as much as digits as its factorization.

105189307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 105189307 is about 10256.1838419560. The cubic root of 105189307 is about 472.0527492397.

The spelling of 105189307 in words is "one hundred five million, one hundred eighty-nine thousand, three hundred seven".