105300199 has 2 divisors, whose sum is σ = 105300200. Its totient is φ = 105300198.

The previous prime is 105300197. The next prime is 105300263. The reversal of 105300199 is 991003501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105300199 - 2¹ = 105300197 is a prime.

It is a super-2 number, since 2×105300199² = 22176263818879202, which contains 22 as substring.

Together with 105300197, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105300197) 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, 52650099 + 52650100.

It is an arithmetic number, because the mean of its divisors is an integer number (52650100).

Almost surely, 2^105300199 is an apocalyptic number.

105300199 is a deficient number, since it is larger than the sum of its proper divisors (1).

105300199 is an equidigital number, since it uses as much as digits as its factorization.

105300199 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1215, while the sum is 28.

The square root of 105300199 is about 10261.5885222513. The cubic root of 105300199 is about 472.2185724613.

It can be divided in two parts, 105 and 300199, that added together give a square (300304 = 548²).

The spelling of 105300199 in words is "one hundred five million, three hundred thousand, one hundred ninety-nine".