100002033 has 14 divisors (see below), whose sum is σ = 149935554. Its totient is φ = 66667536.

The previous prime is 100002031. The next prime is 100002037. The reversal of 100002033 is 330200001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 88792929 + 11209104 = 9423^2 + 3348^2 .

It is not a de Polignac number, because 100002033 - 2¹ = 100002031 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100002031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 67860 + ... + 69317.

Almost surely, 2^100002033 is an apocalyptic number.

It is an amenable number.

100002033 is a deficient number, since it is larger than the sum of its proper divisors (49933521).

100002033 is an frugal number, since it uses more digits than its factorization.

100002033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137195 (or 137180 counting only the distinct ones).

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

The square root of 100002033 is about 10000.1016494834. The cubic root of 100002033 is about 464.1620287900.

Adding to 100002033 its reverse (330200001), we get a palindrome (430202034).

The spelling of 100002033 in words is "one hundred million, two thousand, thirty-three".