105033144 has 64 divisors (see below), whose sum is σ = 270980640. Its totient is φ = 33904640.

The previous prime is 105033143. The next prime is 105033151. The reversal of 105033144 is 441330501.

It is a super-2 number, since 2×105033144² = 22063922677049472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105033144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105033143) 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 15 ways as a sum of consecutive naturals, for example, 169924 + ... + 170540.

Almost surely, 2^105033144 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 105033144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135490320).

105033144 is an abundant number, since it is smaller than the sum of its proper divisors (165947496).

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

105033144 is a wasteful number, since it uses less digits than its factorization.

105033144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 105033144 is about 10248.5678999556. The cubic root of 105033144 is about 471.8190319363.

Adding to 105033144 its reverse (441330501), we get a palindrome (546363645).

The spelling of 105033144 in words is "one hundred five million, thirty-three thousand, one hundred forty-four".