100033029 has 16 divisors (see below), whose sum is σ = 148387200. Its totient is φ = 66603168.

The previous prime is 100033027. The next prime is 100033057. The reversal of 100033029 is 920330001.

It is not a de Polignac number, because 100033029 - 2¹ = 100033027 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100033027) 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 15 ways as a sum of consecutive naturals, for example, 24657 + ... + 28425.

It is an arithmetic number, because the mean of its divisors is an integer number (9274200).

Almost surely, 2^100033029 is an apocalyptic number.

It is an amenable number.

100033029 is a deficient number, since it is larger than the sum of its proper divisors (48354171).

100033029 is an equidigital number, since it uses as much as digits as its factorization.

100033029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 100033029 is about 10001.6513136582. The cubic root of 100033029 is about 464.2099800820.

The spelling of 100033029 in words is "one hundred million, thirty-three thousand, twenty-nine".