105535543 has 2 divisors, whose sum is σ = 105535544. Its totient is φ = 105535542.

The previous prime is 105535537. The next prime is 105535567. The reversal of 105535543 is 345535501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105535543 - 2¹³ = 105527351 is a prime.

It is a super-2 number, since 2×105535543² = 22275501672609698, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105535513) 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, 52767771 + 52767772.

It is an arithmetic number, because the mean of its divisors is an integer number (52767772).

Almost surely, 2^105535543 is an apocalyptic number.

105535543 is a deficient number, since it is larger than the sum of its proper divisors (1).

105535543 is an equidigital number, since it uses as much as digits as its factorization.

105535543 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22500, while the sum is 31.

The square root of 105535543 is about 10273.0493525535. The cubic root of 105535543 is about 472.5701106269.

The spelling of 105535543 in words is "one hundred five million, five hundred thirty-five thousand, five hundred forty-three".