105444224 has 64 divisors (see below), whose sum is σ = 223257600. Its totient is φ = 49466880.

The previous prime is 105444221. The next prime is 105444233. The reversal of 105444224 is 422444501.

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

It is a super-2 number, since 2×105444224² = 22236968749924352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105444193 and 105444202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105444221) 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 7 ways as a sum of consecutive naturals, for example, 464399 + ... + 464625.

It is an arithmetic number, because the mean of its divisors is an integer number (3488400).

Almost surely, 2^105444224 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 105444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111628800).

105444224 is an abundant number, since it is smaller than the sum of its proper divisors (117813376).

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

105444224 is a wasteful number, since it uses less digits than its factorization.

105444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 105444224 is about 10268.6037999331. The cubic root of 105444224 is about 472.4337676730.

Adding to 105444224 its reverse (422444501), we get a palindrome (527888725).

The spelling of 105444224 in words is "one hundred five million, four hundred forty-four thousand, two hundred twenty-four".