105005503 has 2 divisors, whose sum is σ = 105005504. Its totient is φ = 105005502.

The previous prime is 105005501. The next prime is 105005543. The reversal of 105005503 is 305500501.

It is a weak prime.

It is an emirp because it is prime and its reverse (305500501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105005503 - 2¹ = 105005501 is a prime.

It is a super-2 number, since 2×105005503² = 22052311320566018, which contains 22 as substring.

Together with 105005501, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105005501) 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, 52502751 + 52502752.

It is an arithmetic number, because the mean of its divisors is an integer number (52502752).

Almost surely, 2^105005503 is an apocalyptic number.

105005503 is a deficient number, since it is larger than the sum of its proper divisors (1).

105005503 is an equidigital number, since it uses as much as digits as its factorization.

105005503 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 375, while the sum is 19.

The square root of 105005503 is about 10247.2192813465. The cubic root of 105005503 is about 471.7776396242. Note that the first 3 decimals are identical.

The spelling of 105005503 in words is "one hundred five million, five thousand, five hundred three".