105226224 has 80 divisors (see below), whose sum is σ = 281589120. Its totient is φ = 33834240.

The previous prime is 105226201. The next prime is 105226229. The reversal of 105226224 is 422622501.

It is a happy number.

It is a super-2 number, since 2×105226224² = 22145116434596352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105226194 and 105226203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105226229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317739 + ... + 318069.

It is an arithmetic number, because the mean of its divisors is an integer number (3519864).

Almost surely, 2^105226224 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 105226224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140794560).

105226224 is an abundant number, since it is smaller than the sum of its proper divisors (176362896).

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

105226224 is a wasteful number, since it uses less digits than its factorization.

105226224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 105226224 is about 10257.9834275553. The cubic root of 105226224 is about 472.1079663004.

Adding to 105226224 its reverse (422622501), we get a palindrome (527848725).

The spelling of 105226224 in words is "one hundred five million, two hundred twenty-six thousand, two hundred twenty-four".