100144224 has 72 divisors (see below), whose sum is σ = 288058680. Its totient is φ = 32997888.

The previous prime is 100144217. The next prime is 100144243. The reversal of 100144224 is 422441001.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 100144197 and 100144206.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23679 + ... + 27585.

It is an arithmetic number, because the mean of its divisors is an integer number (4000815).

Almost surely, 2^100144224 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 100144224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144029340).

100144224 is an abundant number, since it is smaller than the sum of its proper divisors (187914456).

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

100144224 is a wasteful number, since it uses less digits than its factorization.

100144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 100144224 is about 10007.2086018030. The cubic root of 100144224 is about 464.3819190080.

Adding to 100144224 its reverse (422441001), we get a palindrome (522585225).

The spelling of 100144224 in words is "one hundred million, one hundred forty-four thousand, two hundred twenty-four".