36133105 has 8 divisors (see below), whose sum is σ = 43468200. Its totient is φ = 28834176.

The previous prime is 36133103. The next prime is 36133133. The reversal of 36133105 is 50133163.

36133105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5574321 + 30558784 = 2361^2 + 5528^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 36133105 - 2¹ = 36133103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36133103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6790 + ... + 10879.

It is an arithmetic number, because the mean of its divisors is an integer number (5433525).

Almost surely, 2^36133105 is an apocalyptic number.

It is an amenable number.

36133105 is a deficient number, since it is larger than the sum of its proper divisors (7335095).

36133105 is a wasteful number, since it uses less digits than its factorization.

36133105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18083.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 36133105 is about 6011.0818493845. The cubic root of 36133105 is about 330.5991716202.

Adding to 36133105 its reverse (50133163), we get a palindrome (86266268).

The spelling of 36133105 in words is "thirty-six million, one hundred thirty-three thousand, one hundred five".