100433320 has 96 divisors (see below), whose sum is σ = 249026400. Its totient is φ = 36431616.

The previous prime is 100433309. The next prime is 100433321. The reversal of 100433320 is 23334001.

It is a junction number, because it is equal to n+sod(n) for n = 100433294 and 100433303.

It is not an unprimeable number, because it can be changed into a prime (100433321) 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, 560991 + ... + 561169.

It is an arithmetic number, because the mean of its divisors is an integer number (2594025).

Almost surely, 2^100433320 is an apocalyptic number.

100433320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100433320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124513200).

100433320 is an abundant number, since it is smaller than the sum of its proper divisors (148593080).

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

100433320 is a wasteful number, since it uses less digits than its factorization.

100433320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 100433320 is about 10021.6425799367. The cubic root of 100433320 is about 464.8283484062.

Adding to 100433320 its reverse (23334001), we get a palindrome (123767321).

The spelling of 100433320 in words is "one hundred million, four hundred thirty-three thousand, three hundred twenty".