105441336 has 432 divisors, whose sum is σ = 413922600. Its totient is φ = 23950080.

The previous prime is 105441307. The next prime is 105441353. The reversal of 105441336 is 633144501.

It is a super-2 number, since 2×105441336² = 22235750674929792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 5549535 + ... + 5549553.

Almost surely, 2^105441336 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 105441336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206961300).

105441336 is an abundant number, since it is smaller than the sum of its proper divisors (308481264).

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

105441336 is a wasteful number, since it uses less digits than its factorization.

105441336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 105441336 is about 10268.4631761525. The cubic root of 105441336 is about 472.4294544885.

Adding to 105441336 its reverse (633144501), we get a palindrome (738585837).

The spelling of 105441336 in words is "one hundred five million, four hundred forty-one thousand, three hundred thirty-six".