105633065331 has 8 divisors (see below), whose sum is σ = 156493430160. Its totient is φ = 70422043536.

The previous prime is 105633065299. The next prime is 105633065341. The reversal of 105633065331 is 133560336501.

105633065331 is a `hidden beast` number, since 1 + 0 + 563 + 3 + 0 + 65 + 3 + 31 = 666.

It is not a de Polignac number, because 105633065331 - 2⁵ = 105633065299 is a prime.

It is a super-2 number, since 2×105633065331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105633065341) 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 7 ways as a sum of consecutive naturals, for example, 1956167850 + ... + 1956167903.

It is an arithmetic number, because the mean of its divisors is an integer number (19561678770).

Almost surely, 2^105633065331 is an apocalyptic number.

105633065331 is a deficient number, since it is larger than the sum of its proper divisors (50860364829).

105633065331 is an equidigital number, since it uses as much as digits as its factorization.

105633065331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912335762 (or 3912335756 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The spelling of 105633065331 in words is "one hundred five billion, six hundred thirty-three million, sixty-five thousand, three hundred thirty-one".