105306533 has 2 divisors, whose sum is σ = 105306534. Its totient is φ = 105306532.

The previous prime is 105306529. The next prime is 105306541. The reversal of 105306533 is 335603501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100841764 + 4464769 = 10042^2 + 2113^2 .

It is an emirp because it is prime and its reverse (335603501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105306533 - 2² = 105306529 is a prime.

It is a super-2 number, since 2×105306533² = 22178931784960178, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105306503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52653266 + 52653267.

It is an arithmetic number, because the mean of its divisors is an integer number (52653267).

Almost surely, 2^105306533 is an apocalyptic number.

It is an amenable number.

105306533 is a deficient number, since it is larger than the sum of its proper divisors (1).

105306533 is an equidigital number, since it uses as much as digits as its factorization.

105306533 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4050, while the sum is 26.

The square root of 105306533 is about 10261.8971442906. The cubic root of 105306533 is about 472.2280405424.

The spelling of 105306533 in words is "one hundred five million, three hundred six thousand, five hundred thirty-three".