105224240 has 80 divisors (see below), whose sum is σ = 269580960. Its totient is φ = 37877760.

The previous prime is 105224233. The next prime is 105224243. The reversal of 105224240 is 42422501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105224240² = 22144281367155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (105224243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95372 + ... + 96468.

It is an arithmetic number, because the mean of its divisors is an integer number (3369762).

Almost surely, 2^105224240 is an apocalyptic number.

105224240 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 105224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134790480).

105224240 is an abundant number, since it is smaller than the sum of its proper divisors (164356720).

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

105224240 is a wasteful number, since it uses less digits than its factorization.

105224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 105224240 is about 10257.8867219325. The cubic root of 105224240 is about 472.1049991437.

Adding to 105224240 its reverse (42422501), we get a palindrome (147646741).

The spelling of 105224240 in words is "one hundred five million, two hundred twenty-four thousand, two hundred forty".