105047819 has 2 divisors, whose sum is σ = 105047820. Its totient is φ = 105047818.

The previous prime is 105047791. The next prime is 105047821. The reversal of 105047819 is 918740501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105047819 - 2⁸ = 105047563 is a prime.

It is a super-2 number, since 2×105047819² = 22070088553313522, which contains 22 as substring.

Together with 105047821, 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 (105047119) 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, 52523909 + 52523910.

It is an arithmetic number, because the mean of its divisors is an integer number (52523910).

Almost surely, 2^105047819 is an apocalyptic number.

105047819 is a deficient number, since it is larger than the sum of its proper divisors (1).

105047819 is an equidigital number, since it uses as much as digits as its factorization.

105047819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 105047819 is about 10249.2838286390. The cubic root of 105047819 is about 471.8410047524.

The spelling of 105047819 in words is "one hundred five million, forty-seven thousand, eight hundred nineteen".