105413219 has 2 divisors, whose sum is σ = 105413220. Its totient is φ = 105413218.

The previous prime is 105413201. The next prime is 105413221. The reversal of 105413219 is 912314501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105413219 - 2¹² = 105409123 is a prime.

It is a super-2 number, since 2×105413219² = 22223893479883922, which contains 22 as substring.

Together with 105413221, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105413249) 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, 52706609 + 52706610.

It is an arithmetic number, because the mean of its divisors is an integer number (52706610).

Almost surely, 2^105413219 is an apocalyptic number.

105413219 is a deficient number, since it is larger than the sum of its proper divisors (1).

105413219 is an equidigital number, since it uses as much as digits as its factorization.

105413219 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 105413219 is about 10267.0939900246. The cubic root of 105413219 is about 472.3874580559.

The spelling of 105413219 in words is "one hundred five million, four hundred thirteen thousand, two hundred nineteen".