100020033 has 12 divisors (see below), whose sum is σ = 147997668. Its totient is φ = 65053440.

The previous prime is 100020023. The next prime is 100020103. The reversal of 100020033 is 330020001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22439169 + 77580864 = 4737^2 + 8808^2 .

It is not a de Polignac number, because 100020033 - 2¹³ = 100011841 is a prime.

It is a super-3 number, since 3×100020033³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100019997 and 100020024.

It is not an unprimeable number, because it can be changed into a prime (100020023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135160 + ... + 135897.

It is an arithmetic number, because the mean of its divisors is an integer number (12333139).

Almost surely, 2^100020033 is an apocalyptic number.

It is an amenable number.

100020033 is a deficient number, since it is larger than the sum of its proper divisors (47977635).

100020033 is a wasteful number, since it uses less digits than its factorization.

100020033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271104 (or 271101 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 100020033 is about 10001.0015998399. The cubic root of 100020033 is about 464.1898762748.

Adding to 100020033 its reverse (330020001), we get a palindrome (430040034).

The spelling of 100020033 in words is "one hundred million, twenty thousand, thirty-three".