105685199 has 2 divisors, whose sum is σ = 105685200. Its totient is φ = 105685198.

The previous prime is 105685159. The next prime is 105685213. The reversal of 105685199 is 991586501.

It is a strong prime.

It is an emirp because it is prime and its reverse (991586501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105685199 - 2²⁴ = 88907983 is a prime.

It is a super-2 number, since 2×105685199² = 22338722575339202, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105685109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52842599 + 52842600.

It is an arithmetic number, because the mean of its divisors is an integer number (52842600).

Almost surely, 2^105685199 is an apocalyptic number.

105685199 is a deficient number, since it is larger than the sum of its proper divisors (1).

105685199 is an equidigital number, since it uses as much as digits as its factorization.

105685199 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97200, while the sum is 44.

The square root of 105685199 is about 10280.3306853428. The cubic root of 105685199 is about 472.7933831122.

The spelling of 105685199 in words is "one hundred five million, six hundred eighty-five thousand, one hundred ninety-nine".