105043013 has 2 divisors, whose sum is σ = 105043014. Its totient is φ = 105043012.

The previous prime is 105042967. The next prime is 105043019. The reversal of 105043013 is 310340501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86527204 + 18515809 = 9302^2 + 4303^2 .

It is an emirp because it is prime and its reverse (310340501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105043013 - 2⁸ = 105042757 is a prime.

It is a super-2 number, since 2×105043013² = 22068069160236338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105042982 and 105043000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105043019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52521506 + 52521507.

It is an arithmetic number, because the mean of its divisors is an integer number (52521507).

Almost surely, 2^105043013 is an apocalyptic number.

It is an amenable number.

105043013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105043013 is an equidigital number, since it uses as much as digits as its factorization.

105043013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 105043013 is about 10249.0493705514. The cubic root of 105043013 is about 471.8338089741.

Adding to 105043013 its reverse (310340501), we get a palindrome (415383514).

The spelling of 105043013 in words is "one hundred five million, forty-three thousand, thirteen".