105226344 has 64 divisors (see below), whose sum is σ = 293544000. Its totient is φ = 34925760.

The previous prime is 105226343. The next prime is 105226367. The reversal of 105226344 is 443622501.

105226344 is a `hidden beast` number, since 1 + 0 + 5 + 22 + 634 + 4 = 666.

It is a super-2 number, since 2×105226344² = 22145166943212672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105226343) 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, 57199 + ... + 59009.

It is an arithmetic number, because the mean of its divisors is an integer number (4586625).

Almost surely, 2^105226344 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 105226344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146772000).

105226344 is an abundant number, since it is smaller than the sum of its proper divisors (188317656).

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

105226344 is a wasteful number, since it uses less digits than its factorization.

105226344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 105226344 is about 10257.9892766565. The cubic root of 105226344 is about 472.1081457644.

Adding to 105226344 its reverse (443622501), we get a palindrome (548848845).

It can be divided in two parts, 105226 and 344, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 105226344 in words is "one hundred five million, two hundred twenty-six thousand, three hundred forty-four".