105033164 has 12 divisors (see below), whose sum is σ = 184118088. Its totient is φ = 52428000.

The previous prime is 105033151. The next prime is 105033167. The reversal of 105033164 is 461330501.

It is a happy number.

It is a super-2 number, since 2×105033164² = 22063931079701792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105033167) 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 3 ways as a sum of consecutive naturals, for example, 19442 + ... + 24249.

It is an arithmetic number, because the mean of its divisors is an integer number (15343174).

Almost surely, 2^105033164 is an apocalyptic number.

It is an amenable number.

105033164 is a deficient number, since it is larger than the sum of its proper divisors (79084924).

105033164 is a wasteful number, since it uses less digits than its factorization.

105033164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44296 (or 44294 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 105033164 is about 10248.5688757016. The cubic root of 105033164 is about 471.8190618837.

Adding to 105033164 its reverse (461330501), we get a palindrome (566363665).

The spelling of 105033164 in words is "one hundred five million, thirty-three thousand, one hundred sixty-four".