105784241 has 2 divisors, whose sum is σ = 105784242. Its totient is φ = 105784240.

The previous prime is 105784219. The next prime is 105784331. The reversal of 105784241 is 142487501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72318016 + 33466225 = 8504^2 + 5785^2 .

It is a cyclic number.

It is not a de Polignac number, because 105784241 - 2⁶ = 105784177 is a prime.

It is a super-2 number, since 2×105784241² = 22380611287892162, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105784198 and 105784207.

It is not a weakly prime, because it can be changed into another prime (105084241) 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, 52892120 + 52892121.

It is an arithmetic number, because the mean of its divisors is an integer number (52892121).

Almost surely, 2^105784241 is an apocalyptic number.

It is an amenable number.

105784241 is a deficient number, since it is larger than the sum of its proper divisors (1).

105784241 is an equidigital number, since it uses as much as digits as its factorization.

105784241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 105784241 is about 10285.1466202481. The cubic root of 105784241 is about 472.9410284547.

The spelling of 105784241 in words is "one hundred five million, seven hundred eighty-four thousand, two hundred forty-one".