105432144 has 40 divisors (see below), whose sum is σ = 272860512. Its totient is φ = 35080320.

The previous prime is 105432143. The next prime is 105432157. The reversal of 105432144 is 441234501.

It is a super-2 number, since 2×105432144² = 22231873976873472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105432143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30067 + ... + 33389.

Almost surely, 2^105432144 is an apocalyptic number.

It is an amenable number.

105432144 is an abundant number, since it is smaller than the sum of its proper divisors (167428368).

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

105432144 is a wasteful number, since it uses less digits than its factorization.

105432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 105432144 is about 10268.0155823801. The cubic root of 105432144 is about 472.4157258506.

Adding to 105432144 its reverse (441234501), we get a palindrome (546666645).

The spelling of 105432144 in words is "one hundred five million, four hundred thirty-two thousand, one hundred forty-four".