105582240 has 288 divisors, whose sum is σ = 403341120. Its totient is φ = 24993792.

The previous prime is 105582233. The next prime is 105582241. The reversal of 105582240 is 42285501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105582240² = 22295218806835200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105582241) 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 47 ways as a sum of consecutive naturals, for example, 465007 + ... + 465233.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2^105582240 is an apocalyptic number.

105582240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

105582240 is an abundant number, since it is smaller than the sum of its proper divisors (297758880).

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

105582240 is a wasteful number, since it uses less digits than its factorization.

105582240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 105582240 is about 10275.3218927681. The cubic root of 105582240 is about 472.6398007421.

The spelling of 105582240 in words is "one hundred five million, five hundred eighty-two thousand, two hundred forty".