105688199 has 2 divisors, whose sum is σ = 105688200. Its totient is φ = 105688198.

The previous prime is 105688189. The next prime is 105688211. The reversal of 105688199 is 991886501.

It is a weak prime.

It is an emirp because it is prime and its reverse (991886501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105688199 - 2⁴ = 105688183 is a prime.

It is a super-2 number, since 2×105688199² = 22339990815727202, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105688129) 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 as a sum of consecutive naturals, namely, 52844099 + 52844100.

It is an arithmetic number, because the mean of its divisors is an integer number (52844100).

Almost surely, 2^105688199 is an apocalyptic number.

105688199 is a deficient number, since it is larger than the sum of its proper divisors (1).

105688199 is an equidigital number, since it uses as much as digits as its factorization.

105688199 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 47.

The square root of 105688199 is about 10280.4765940106. The cubic root of 105688199 is about 472.7978566706.

The spelling of 105688199 in words is "one hundred five million, six hundred eighty-eight thousand, one hundred ninety-nine".