105005633033 has 16 divisors (see below), whose sum is σ = 121252018560. Its totient is φ = 89071488000.

The previous prime is 105005632961. The next prime is 105005633059. The reversal of 105005633033 is 330336500501.

It is a cyclic number.

It is not a de Polignac number, because 105005633033 - 2⁸ = 105005632777 is a prime.

It is a super-2 number, since 2×105005633033² (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 = 105005632987 and 105005633005.

It is not an unprimeable number, because it can be changed into a prime (105005633063) 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 15 ways as a sum of consecutive naturals, for example, 1506473 + ... + 1574633.

It is an arithmetic number, because the mean of its divisors is an integer number (7578251160).

Almost surely, 2^105005633033 is an apocalyptic number.

It is an amenable number.

105005633033 is a deficient number, since it is larger than the sum of its proper divisors (16246385527).

105005633033 is a wasteful number, since it uses less digits than its factorization.

105005633033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70448.

The product of its (nonzero) digits is 12150, while the sum is 29.

The spelling of 105005633033 in words is "one hundred five billion, five million, six hundred thirty-three thousand, thirty-three".