105432444 has 144 divisors (see below), whose sum is σ = 308206080. Its totient is φ = 30119040.

The previous prime is 105432427. The next prime is 105432449. The reversal of 105432444 is 444234501.

It is a happy number.

It is a super-2 number, since 2×105432444² = 22232000495626272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105432449) 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 47 ways as a sum of consecutive naturals, for example, 631249 + ... + 631415.

It is an arithmetic number, because the mean of its divisors is an integer number (2140320).

Almost surely, 2^105432444 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 105432444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

105432444 is an abundant number, since it is smaller than the sum of its proper divisors (202773636).

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

105432444 is a wasteful number, since it uses less digits than its factorization.

105432444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 105432444 is about 10268.0301908399. The cubic root of 105432444 is about 472.4161739258.

Adding to 105432444 its reverse (444234501), we get a palindrome (549666945).

The spelling of 105432444 in words is "one hundred five million, four hundred thirty-two thousand, four hundred forty-four".