100033312 has 24 divisors (see below), whose sum is σ = 197396892. Its totient is φ = 49900800.

The previous prime is 100033273. The next prime is 100033319. The reversal of 100033312 is 213330001.

It can be written as a sum of positive squares in 2 ways, for example, as 98485776 + 1547536 = 9924^2 + 1244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100033292 and 100033301.

It is not an unprimeable number, because it can be changed into a prime (100033319) 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 3 ways as a sum of consecutive naturals, for example, 11362 + ... + 18142.

Almost surely, 2^100033312 is an apocalyptic number.

It is an amenable number.

100033312 is a deficient number, since it is larger than the sum of its proper divisors (97363580).

100033312 is an equidigital number, since it uses as much as digits as its factorization.

100033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 7244 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 100033312 is about 10001.6654613119. The cubic root of 100033312 is about 464.2104178417.

Adding to 100033312 its reverse (213330001), we get a palindrome (313363313).

The spelling of 100033312 in words is "one hundred million, thirty-three thousand, three hundred twelve".