100333224 has 96 divisors (see below), whose sum is σ = 290347200. Its totient is φ = 31207680.

The previous prime is 100333223. The next prime is 100333229. The reversal of 100333224 is 422333001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100333197 and 100333206.

It is not an unprimeable number, because it can be changed into a prime (100333223) 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 23 ways as a sum of consecutive naturals, for example, 96612 + ... + 97644.

It is an arithmetic number, because the mean of its divisors is an integer number (3024450).

Almost surely, 2^100333224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100333224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145173600).

100333224 is an abundant number, since it is smaller than the sum of its proper divisors (190013976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100333224 is a wasteful number, since it uses less digits than its factorization.

100333224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 100333224 is about 10016.6473432981. The cubic root of 100333224 is about 464.6738746918.

Adding to 100333224 its reverse (422333001), we get a palindrome (522666225).

The spelling of 100333224 in words is "one hundred million, three hundred thirty-three thousand, two hundred twenty-four".