100022033 has 6 divisors (see below), whose sum is σ = 106252086. Its totient is φ = 94138112.

The previous prime is 100022029. The next prime is 100022071. The reversal of 100022033 is 330220001.

It can be written as a sum of positive squares in 3 ways, for example, as 67108864 + 32913169 = 8192^2 + 5737^2 .

It is not a de Polignac number, because 100022033 - 2² = 100022029 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100022003) 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, 172760 + ... + 173337.

It is an arithmetic number, because the mean of its divisors is an integer number (17708681).

Almost surely, 2^100022033 is an apocalyptic number.

It is an amenable number.

100022033 is a deficient number, since it is larger than the sum of its proper divisors (6230053).

100022033 is an equidigital number, since it uses as much as digits as its factorization.

100022033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346131 (or 346114 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 100022033 is about 10001.1015893250. The cubic root of 100022033 is about 464.1929702335.

Adding to 100022033 its reverse (330220001), we get a palindrome (430242034).

The spelling of 100022033 in words is "one hundred million, twenty-two thousand, thirty-three".