100330209 has 48 divisors (see below), whose sum is σ = 183036672. Its totient is φ = 51600384.

The previous prime is 100330201. The next prime is 100330211. The reversal of 100330209 is 902033001.

It is not a de Polignac number, because 100330209 - 2³ = 100330201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100330191 and 100330200.

It is not an unprimeable number, because it can be changed into a prime (100330201) 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 47 ways as a sum of consecutive naturals, for example, 22597 + ... + 26669.

It is an arithmetic number, because the mean of its divisors is an integer number (3813264).

Almost surely, 2^100330209 is an apocalyptic number.

It is an amenable number.

100330209 is a deficient number, since it is larger than the sum of its proper divisors (82706463).

100330209 is a wasteful number, since it uses less digits than its factorization.

100330209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4123 counting only the distinct ones).

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

The square root of 100330209 is about 10016.4968427090. The cubic root of 100330209 is about 464.6692201825.

The spelling of 100330209 in words is "one hundred million, three hundred thirty thousand, two hundred nine".