105334013 has 2 divisors, whose sum is σ = 105334014. Its totient is φ = 105334012.

The previous prime is 105333947. The next prime is 105334037. The reversal of 105334013 is 310433501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68343289 + 36990724 = 8267^2 + 6082^2 .

It is a cyclic number.

It is not a de Polignac number, because 105334013 - 2⁸ = 105333757 is a prime.

It is a super-2 number, since 2×105334013² = 22190508589368338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105334813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52667006 + 52667007.

It is an arithmetic number, because the mean of its divisors is an integer number (52667007).

Almost surely, 2^105334013 is an apocalyptic number.

It is an amenable number.

105334013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105334013 is an equidigital number, since it uses as much as digits as its factorization.

105334013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 105334013 is about 10263.2359906610. The cubic root of 105334013 is about 472.2691133280.

Adding to 105334013 its reverse (310433501), we get a palindrome (415767514).

The spelling of 105334013 in words is "one hundred five million, three hundred thirty-four thousand, thirteen".