105508219 has 2 divisors, whose sum is σ = 105508220. Its totient is φ = 105508218.

The previous prime is 105508187. The next prime is 105508237. The reversal of 105508219 is 912805501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105508219 - 2⁵ = 105508187 is a prime.

It is a super-2 number, since 2×105508219² = 22263968553103922, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105508259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52754109 + 52754110.

It is an arithmetic number, because the mean of its divisors is an integer number (52754110).

Almost surely, 2^105508219 is an apocalyptic number.

105508219 is a deficient number, since it is larger than the sum of its proper divisors (1).

105508219 is an equidigital number, since it uses as much as digits as its factorization.

105508219 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 31.

The square root of 105508219 is about 10271.7193789550. The cubic root of 105508219 is about 472.5293230405.

It can be divided in two parts, 10550 and 8219, that added together give a square (18769 = 137²).

The spelling of 105508219 in words is "one hundred five million, five hundred eight thousand, two hundred nineteen".