105005005333 has 4 divisors (see below), whose sum is σ = 105378688908. Its totient is φ = 104631321760.

The previous prime is 105005005321. The next prime is 105005005387. The reversal of 105005005333 is 333500500501.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 70555046884 + 34449958449 = 265622^2 + 185607^2 .

It is a cyclic number.

It is not a de Polignac number, because 105005005333 - 2²⁵ = 104971450901 is a prime.

It is a super-2 number, since 2×105005005333² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105005005298 and 105005005307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005005433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 186841366 + ... + 186841927.

It is an arithmetic number, because the mean of its divisors is an integer number (26344672227).

Almost surely, 2^105005005333 is an apocalyptic number.

It is an amenable number.

105005005333 is a deficient number, since it is larger than the sum of its proper divisors (373683575).

105005005333 is an equidigital number, since it uses as much as digits as its factorization.

105005005333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373683574.

The product of its (nonzero) digits is 3375, while the sum is 25.

Adding to 105005005333 its reverse (333500500501), we get a palindrome (438505505834).

The spelling of 105005005333 in words is "one hundred five billion, five million, five thousand, three hundred thirty-three".