105441344 has 56 divisors (see below), whose sum is σ = 223113600. Its totient is φ = 49268736.

The previous prime is 105441307. The next prime is 105441353. The reversal of 105441344 is 443144501.

It is a happy number.

It is a super-3 number, since 3×105441344³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216269 + ... + 216755.

Almost surely, 2^105441344 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 105441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111556800).

105441344 is an abundant number, since it is smaller than the sum of its proper divisors (117672256).

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

105441344 is a wasteful number, since it uses less digits than its factorization.

105441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 105441344 is about 10268.4635656947. The cubic root of 105441344 is about 472.4294664365.

Adding to 105441344 its reverse (443144501), we get a palindrome (548585845).

The spelling of 105441344 in words is "one hundred five million, four hundred forty-one thousand, three hundred forty-four".