100100224 has 64 divisors (see below), whose sum is σ = 232853760. Its totient is φ = 41969664.

The previous prime is 100100197. The next prime is 100100239. The reversal of 100100224 is 422001001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 100100224.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 40924 + ... + 43300.

It is an arithmetic number, because the mean of its divisors is an integer number (3638340).

Almost surely, 2^100100224 is an apocalyptic number.

100100224 is a gapful number since it is divisible by the number (14) 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 100100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116426880).

100100224 is an abundant number, since it is smaller than the sum of its proper divisors (132753536).

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

100100224 is an equidigital number, since it uses as much as digits as its factorization.

100100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 100100224 is about 10005.0099450225. The cubic root of 100100224 is about 464.3138977853.

Adding to 100100224 its reverse (422001001), we get a palindrome (522101225).

The spelling of 100100224 in words is "one hundred million, one hundred thousand, two hundred twenty-four".