105629219 has 2 divisors, whose sum is σ = 105629220. Its totient is φ = 105629218.

The previous prime is 105629213. The next prime is 105629221. The reversal of 105629219 is 912926501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105629219 - 2²⁰ = 104580643 is a prime.

It is a super-2 number, since 2×105629219² = 22315063813099922, which contains 22 as substring.

Together with 105629221, 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 (105629213) 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, 52814609 + 52814610.

It is an arithmetic number, because the mean of its divisors is an integer number (52814610).

Almost surely, 2^105629219 is an apocalyptic number.

105629219 is a deficient number, since it is larger than the sum of its proper divisors (1).

105629219 is an equidigital number, since it uses as much as digits as its factorization.

105629219 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 105629219 is about 10277.6076496430. The cubic root of 105629219 is about 472.7098909794.

The spelling of 105629219 in words is "one hundred five million, six hundred twenty-nine thousand, two hundred nineteen".