105543240 has 128 divisors (see below), whose sum is σ = 354913920. Its totient is φ = 24883200.

The previous prime is 105543239. The next prime is 105543257. The reversal of 105543240 is 42345501.

It is a super-2 number, since 2×105543240² = 22278751019395200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105543240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47760 + ... + 49920.

It is an arithmetic number, because the mean of its divisors is an integer number (2772765).

Almost surely, 2^105543240 is an apocalyptic number.

105543240 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 105543240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177456960).

105543240 is an abundant number, since it is smaller than the sum of its proper divisors (249370680).

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

105543240 is a wasteful number, since it uses less digits than its factorization.

105543240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 105543240 is about 10273.4239667211. The cubic root of 105543240 is about 472.5815989641.

Adding to 105543240 its reverse (42345501), we get a palindrome (147888741).

It can be divided in two parts, 105 and 543240, that added together give a palindrome (543345).

The spelling of 105543240 in words is "one hundred five million, five hundred forty-three thousand, two hundred forty".