105441168 has 160 divisors (see below), whose sum is σ = 329121792. Its totient is φ = 28454400.

The previous prime is 105441143. The next prime is 105441169. The reversal of 105441168 is 861144501.

It is a super-2 number, since 2×105441168² = 22235679818408448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105441169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551953 + ... + 552143.

Almost surely, 2^105441168 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 105441168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164560896).

105441168 is an abundant number, since it is smaller than the sum of its proper divisors (223680624).

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

105441168 is a wasteful number, since it uses less digits than its factorization.

105441168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 105441168 is about 10268.4549957625. The cubic root of 105441168 is about 472.4292035806.

Adding to 105441168 its reverse (861144501), we get a palindrome (966585669).

The spelling of 105441168 in words is "one hundred five million, four hundred forty-one thousand, one hundred sixty-eight".