105005243 has 16 divisors (see below), whose sum is σ = 129470400. Its totient is φ = 83106816.

The previous prime is 105005231. The next prime is 105005261. The reversal of 105005243 is 342500501.

It is a cyclic number.

It is not a de Polignac number, because 105005243 - 2⁴ = 105005227 is a prime.

It is a super-2 number, since 2×105005243² = 22052202114978098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105005213) 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 in 15 ways as a sum of consecutive naturals, for example, 2018 + ... + 14631.

It is an arithmetic number, because the mean of its divisors is an integer number (8091900).

Almost surely, 2^105005243 is an apocalyptic number.

105005243 is a deficient number, since it is larger than the sum of its proper divisors (24465157).

105005243 is a wasteful number, since it uses less digits than its factorization.

105005243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16726.

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 105005243 is about 10247.2065949702. The cubic root of 105005243 is about 471.7772502405. Note that the first 3 decimals are identical.

Adding to 105005243 its reverse (342500501), we get a palindrome (447505744).

The spelling of 105005243 in words is "one hundred five million, five thousand, two hundred forty-three".