100034333 has 12 divisors (see below), whose sum is σ = 116535132. Its totient is φ = 85619520.

The previous prime is 100034317. The next prime is 100034357. The reversal of 100034333 is 333430001.

It can be written as a sum of positive squares in 2 ways, for example, as 8602489 + 91431844 = 2933^2 + 9562^2 .

It is not a de Polignac number, because 100034333 - 2⁴ = 100034317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100034393) 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 11 ways as a sum of consecutive naturals, for example, 52823 + ... + 54683.

It is an arithmetic number, because the mean of its divisors is an integer number (9711261).

Almost surely, 2^100034333 is an apocalyptic number.

It is an amenable number.

100034333 is a deficient number, since it is larger than the sum of its proper divisors (16500799).

100034333 is a wasteful number, since it uses less digits than its factorization.

100034333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 100034333 is about 10001.7165026809. The cubic root of 100034333 is about 464.2119971730.

Adding to 100034333 its reverse (333430001), we get a palindrome (433464334).

The spelling of 100034333 in words is "one hundred million, thirty-four thousand, three hundred thirty-three".