105540224 has 32 divisors (see below), whose sum is σ = 210767700. Its totient is φ = 52641792.

The previous prime is 105540217. The next prime is 105540241. The reversal of 105540224 is 422045501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 104693824 + 846400 = 10232^2 + 920^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105540224² = 22277477763940352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105540224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73142 + ... + 74570.

Almost surely, 2^105540224 is an apocalyptic number.

It is an amenable number.

105540224 is a deficient number, since it is larger than the sum of its proper divisors (105227476).

105540224 is an equidigital number, since it uses as much as digits as its factorization.

105540224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 105540224 is about 10273.2771791673. The cubic root of 105540224 is about 472.5770974294.

Adding to 105540224 its reverse (422045501), we get a palindrome (527585725).

The spelling of 105540224 in words is "one hundred five million, five hundred forty thousand, two hundred twenty-four".