105522013 has 2 divisors, whose sum is σ = 105522014. Its totient is φ = 105522012.

The previous prime is 105522007. The next prime is 105522017. The reversal of 105522013 is 310225501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57108249 + 48413764 = 7557^2 + 6958^2 .

It is a cyclic number.

It is not a de Polignac number, because 105522013 - 2⁹ = 105521501 is a prime.

It is a super-2 number, since 2×105522013² = 22269790455144338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105522017) 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, 52761006 + 52761007.

It is an arithmetic number, because the mean of its divisors is an integer number (52761007).

Almost surely, 2^105522013 is an apocalyptic number.

It is an amenable number.

105522013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105522013 is an equidigital number, since it uses as much as digits as its factorization.

105522013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 105522013 is about 10272.3908122696. The cubic root of 105522013 is about 472.5499147552.

Adding to 105522013 its reverse (310225501), we get a palindrome (415747514).

The spelling of 105522013 in words is "one hundred five million, five hundred twenty-two thousand, thirteen".