105198259 has 2 divisors, whose sum is σ = 105198260. Its totient is φ = 105198258.

The previous prime is 105198209. The next prime is 105198271. The reversal of 105198259 is 952891501.

It is a strong prime.

It is an emirp because it is prime and its reverse (952891501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105198259 - 2⁷ = 105198131 is a prime.

It is a super-2 number, since 2×105198259² = 22133347393262162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105198209) 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, 52599129 + 52599130.

It is an arithmetic number, because the mean of its divisors is an integer number (52599130).

Almost surely, 2^105198259 is an apocalyptic number.

105198259 is a deficient number, since it is larger than the sum of its proper divisors (1).

105198259 is an equidigital number, since it uses as much as digits as its factorization.

105198259 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 40.

The square root of 105198259 is about 10256.6202523053. The cubic root of 105198259 is about 472.0661400062.

The spelling of 105198259 in words is "one hundred five million, one hundred ninety-eight thousand, two hundred fifty-nine".