105204144 has 40 divisors (see below), whose sum is σ = 278103232. Its totient is φ = 34251840.

The previous prime is 105204131. The next prime is 105204149. The reversal of 105204144 is 441402501.

It is a happy number.

It is a super-2 number, since 2×105204144² = 22135823829545472, 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 105204144.

It is not an unprimeable number, because it can be changed into a prime (105204149) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23422 + ... + 27549.

Almost surely, 2^105204144 is an apocalyptic number.

It is an amenable number.

105204144 is an abundant number, since it is smaller than the sum of its proper divisors (172899088).

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

105204144 is a wasteful number, since it uses less digits than its factorization.

105204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51025 (or 51019 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 105204144 is about 10256.9071361693. The cubic root of 105204144 is about 472.0749426152.

Adding to 105204144 its reverse (441402501), we get a palindrome (546606645).

The spelling of 105204144 in words is "one hundred five million, two hundred four thousand, one hundred forty-four".