101044224 has 78 divisors (see below), whose sum is σ = 291976386. Its totient is φ = 33669120.

The previous prime is 101044169. The next prime is 101044231. The reversal of 101044224 is 422440101.

It can be written as a sum of positive squares in only one way, i.e., 78004224 + 23040000 = 8832^2 + 4800^2 .

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 = 101044197 and 101044206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35494 + ... + 38234.

It is an arithmetic number, because the mean of its divisors is an integer number (3743287).

Almost surely, 2^101044224 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 101044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145988193).

101044224 is an abundant number, since it is smaller than the sum of its proper divisors (190932162).

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

101044224 is an equidigital number, since it uses as much as digits as its factorization.

101044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2746 counting only the distinct ones).

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

The square root of 101044224 is about 10052.0756065601. The cubic root of 101044224 is about 465.7689116835.

Adding to 101044224 its reverse (422440101), we get a palindrome (523484325).

The spelling of 101044224 in words is "one hundred one million, forty-four thousand, two hundred twenty-four".