20133105 has 32 divisors (see below), whose sum is σ = 34421760. Its totient is φ = 10026240.

The previous prime is 20133089. The next prime is 20133107. The reversal of 20133105 is 50133102.

It is a happy number.

It is not a de Polignac number, because 20133105 - 2⁴ = 20133089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20133107) 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 31 ways as a sum of consecutive naturals, for example, 12739 + ... + 14231.

It is an arithmetic number, because the mean of its divisors is an integer number (1075680).

Almost surely, 2^20133105 is an apocalyptic number.

It is an amenable number.

20133105 is a deficient number, since it is larger than the sum of its proper divisors (14288655).

20133105 is a wasteful number, since it uses less digits than its factorization.

20133105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 20133105 is about 4486.9928682805. The cubic root of 20133105 is about 272.0426016389.

Adding to 20133105 its reverse (50133102), we get a palindrome (70266207).

The spelling of 20133105 in words is "twenty million, one hundred thirty-three thousand, one hundred five".