100304933 has 12 divisors (see below), whose sum is σ = 109289088. Its totient is φ = 91950120.

The previous prime is 100304927. The next prime is 100304999. The reversal of 100304933 is 339403001.

It is not a de Polignac number, because 100304933 - 2¹⁶ = 100239397 is a prime.

It is a super-3 number, since 3×100304933³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100304899 and 100304908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100300933) 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 11 ways as a sum of consecutive naturals, for example, 6710 + ... + 15672.

It is an arithmetic number, because the mean of its divisors is an integer number (9107424).

Almost surely, 2^100304933 is an apocalyptic number.

It is an amenable number.

100304933 is a deficient number, since it is larger than the sum of its proper divisors (8984155).

100304933 is an equidigital number, since it uses as much as digits as its factorization.

100304933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9032 (or 9013 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 100304933 is about 10015.2350446707. The cubic root of 100304933 is about 464.6301958256.

Adding to 100304933 its reverse (339403001), we get a palindrome (439707934).

The spelling of 100304933 in words is "one hundred million, three hundred four thousand, nine hundred thirty-three".