105006533 has 2 divisors, whose sum is σ = 105006534. Its totient is φ = 105006532.

The previous prime is 105006511. The next prime is 105006547. The reversal of 105006533 is 335600501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103571329 + 1435204 = 10177^2 + 1198^2 .

It is an emirp because it is prime and its reverse (335600501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105006533 - 2⁸ = 105006277 is a prime.

It is a super-2 number, since 2×105006533² = 22052743945360178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105006499 and 105006508.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105006553) 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 as a sum of consecutive naturals, namely, 52503266 + 52503267.

It is an arithmetic number, because the mean of its divisors is an integer number (52503267).

Almost surely, 2^105006533 is an apocalyptic number.

It is an amenable number.

105006533 is a deficient number, since it is larger than the sum of its proper divisors (1).

105006533 is an equidigital number, since it uses as much as digits as its factorization.

105006533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 105006533 is about 10247.2695387601. The cubic root of 105006533 is about 471.7791821763.

The spelling of 105006533 in words is "one hundred five million, six thousand, five hundred thirty-three".