105000005533 has 2 divisors, whose sum is σ = 105000005534. Its totient is φ = 105000005532.

The previous prime is 105000005491. The next prime is 105000005597. The reversal of 105000005533 is 335500000501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103553952804 + 1446052729 = 321798^2 + 38027^2 .

It is a cyclic number.

It is not a de Polignac number, because 105000005533 - 2¹⁷ = 104999874461 is a prime.

It is a super-2 number, since 2×105000005533² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105000005333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52500002766 + 52500002767.

It is an arithmetic number, because the mean of its divisors is an integer number (52500002767).

Almost surely, 2^105000005533 is an apocalyptic number.

It is an amenable number.

105000005533 is a deficient number, since it is larger than the sum of its proper divisors (1).

105000005533 is an equidigital number, since it uses as much as digits as its factorization.

105000005533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1125, while the sum is 22.

The spelling of 105000005533 in words is "one hundred five billion, five thousand, five hundred thirty-three".