105089819 has 2 divisors, whose sum is σ = 105089820. Its totient is φ = 105089818.

The previous prime is 105089813. The next prime is 105089821. The reversal of 105089819 is 918980501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105089819 - 2¹² = 105085723 is a prime.

It is a super-2 number, since 2×105089819² = 22087740114905522, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 105089821, 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 (105089813) 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, 52544909 + 52544910.

It is an arithmetic number, because the mean of its divisors is an integer number (52544910).

Almost surely, 2^105089819 is an apocalyptic number.

105089819 is a deficient number, since it is larger than the sum of its proper divisors (1).

105089819 is an equidigital number, since it uses as much as digits as its factorization.

105089819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 41.

The square root of 105089819 is about 10251.3325475277. The cubic root of 105089819 is about 471.9038798692.

The spelling of 105089819 in words is "one hundred five million, eighty-nine thousand, eight hundred nineteen".