105221833 has 2 divisors, whose sum is σ = 105221834. Its totient is φ = 105221832.

The previous prime is 105221827. The next prime is 105221869. The reversal of 105221833 is 338122501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89643024 + 15578809 = 9468^2 + 3947^2 .

It is a cyclic number.

It is not a de Polignac number, because 105221833 - 2⁹ = 105221321 is a prime.

It is a super-2 number, since 2×105221833² = 22143268279759778, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105221798 and 105221807.

It is not a weakly prime, because it can be changed into another prime (105221933) 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, 52610916 + 52610917.

It is an arithmetic number, because the mean of its divisors is an integer number (52610917).

Almost surely, 2^105221833 is an apocalyptic number.

It is an amenable number.

105221833 is a deficient number, since it is larger than the sum of its proper divisors (1).

105221833 is an equidigital number, since it uses as much as digits as its factorization.

105221833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 105221833 is about 10257.7693969011. The cubic root of 105221833 is about 472.1013993224.

The spelling of 105221833 in words is "one hundred five million, two hundred twenty-one thousand, eight hundred thirty-three".