100320256 has 33 divisors (see below), whose sum is σ = 201185301. Its totient is φ = 49999872.

The previous prime is 100320211. The next prime is 100320257. The reversal of 100320256 is 652023001.

It is a happy number.

The square root of 100320256 is 10016.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 640000 + 99680256 = 800^2 + 9984^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100320257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 320356 + ... + 320668.

Almost surely, 2^100320256 is an apocalyptic number.

100320256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100320256 is the 10016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100320256

100320256 is an abundant number, since it is smaller than the sum of its proper divisors (100865045).

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

100320256 is an frugal number, since it uses more digits than its factorization.

100320256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The cubic root of 100320256 is about 464.6538542366.

Adding to 100320256 its reverse (652023001), we get a palindrome (752343257).

It can be divided in two parts, 100320 and 256, that added together give a triangular number (100576 = T₄₄₈).

The spelling of 100320256 in words is "one hundred million, three hundred twenty thousand, two hundred fifty-six".