105442013 has 2 divisors, whose sum is σ = 105442014. Its totient is φ = 105442012.

The previous prime is 105441991. The next prime is 105442021. The reversal of 105442013 is 310244501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94439524 + 11002489 = 9718^2 + 3317^2 .

It is a cyclic number.

It is not a de Polignac number, because 105442013 - 2²² = 101247709 is a prime.

It is a super-2 number, since 2×105442013² = 22236036210984338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105442033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52721006 + 52721007.

It is an arithmetic number, because the mean of its divisors is an integer number (52721007).

Almost surely, 2^105442013 is an apocalyptic number.

It is an amenable number.

105442013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105442013 is an equidigital number, since it uses as much as digits as its factorization.

105442013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 105442013 is about 10268.4961411104. The cubic root of 105442013 is about 472.4304655848.

Adding to 105442013 its reverse (310244501), we get a palindrome (415686514).

The spelling of 105442013 in words is "one hundred five million, four hundred forty-two thousand, thirteen".