105042493 has 2 divisors, whose sum is σ = 105042494. Its totient is φ = 105042492.

The previous prime is 105042433. The next prime is 105042557. The reversal of 105042493 is 394240501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91814724 + 13227769 = 9582^2 + 3637^2 .

It is an emirp because it is prime and its reverse (394240501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105042493 - 2¹⁷ = 104911421 is a prime.

It is a super-2 number, since 2×105042493² = 22067850671310098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105042433) 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, 52521246 + 52521247.

It is an arithmetic number, because the mean of its divisors is an integer number (52521247).

Almost surely, 2^105042493 is an apocalyptic number.

It is an amenable number.

105042493 is a deficient number, since it is larger than the sum of its proper divisors (1).

105042493 is an equidigital number, since it uses as much as digits as its factorization.

105042493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 105042493 is about 10249.0240023136. The cubic root of 105042493 is about 471.8330303915.

Adding to 105042493 its reverse (394240501), we get a palindrome (499282994).

The spelling of 105042493 in words is "one hundred five million, forty-two thousand, four hundred ninety-three".