105853819 has 2 divisors, whose sum is σ = 105853820. Its totient is φ = 105853818.

The previous prime is 105853793. The next prime is 105853859. The reversal of 105853819 is 918358501.

It is an a-pointer prime, because the next prime (105853859) can be obtained adding 105853819 to its sum of digits (40).

It is a weak prime.

It is an emirp because it is prime and its reverse (918358501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105853819 - 2⁷ = 105853691 is a prime.

It is a super-2 number, since 2×105853819² = 22410061993769522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105853859) 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, 52926909 + 52926910.

It is an arithmetic number, because the mean of its divisors is an integer number (52926910).

Almost surely, 2^105853819 is an apocalyptic number.

105853819 is a deficient number, since it is larger than the sum of its proper divisors (1).

105853819 is an equidigital number, since it uses as much as digits as its factorization.

105853819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 40.

The square root of 105853819 is about 10288.5285148072. The cubic root of 105853819 is about 473.0446956886.

The spelling of 105853819 in words is "one hundred five million, eight hundred fifty-three thousand, eight hundred nineteen".