105133633 has 6 divisors (see below), whose sum is σ = 115560242. Its totient is φ = 95575920.

The previous prime is 105133619. The next prime is 105133643. The reversal of 105133633 is 336331501.

It can be written as a sum of positive squares in only one way, i.e., 87011584 + 18122049 = 9328^2 + 4257^2 .

It is not a de Polignac number, because 105133633 - 2⁵ = 105133601 is a prime.

It is a super-2 number, since 2×105133633² = 22106161575557378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105133598 and 105133607.

It is not an unprimeable number, because it can be changed into a prime (105133603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 434316 + ... + 434557.

Almost surely, 2^105133633 is an apocalyptic number.

It is an amenable number.

105133633 is a deficient number, since it is larger than the sum of its proper divisors (10426609).

105133633 is an equidigital number, since it uses as much as digits as its factorization.

105133633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868895 (or 868884 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 25.

The square root of 105133633 is about 10253.4693153098. The cubic root of 105133633 is about 471.9694527415.

The spelling of 105133633 in words is "one hundred five million, one hundred thirty-three thousand, six hundred thirty-three".