105041144 has 48 divisors (see below), whose sum is σ = 219373560. Its totient is φ = 46872000.

The previous prime is 105041143. The next prime is 105041149. The reversal of 105041144 is 441140501.

It is a super-3 number, since 3×105041144³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105041143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99419 + ... + 100469.

Almost surely, 2^105041144 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 105041144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109686780).

105041144 is an abundant number, since it is smaller than the sum of its proper divisors (114332416).

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

105041144 is a wasteful number, since it uses less digits than its factorization.

105041144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 105041144 is about 10248.9581909578. The cubic root of 105041144 is about 471.8310105566.

Adding to 105041144 its reverse (441140501), we get a palindrome (546181645).

The spelling of 105041144 in words is "one hundred five million, forty-one thousand, one hundred forty-four".