105541224 has 32 divisors (see below), whose sum is σ = 268182240. Its totient is φ = 34603200.

The previous prime is 105541213. The next prime is 105541229. The reversal of 105541224 is 422145501.

It is a super-2 number, since 2×105541224² = 22277899926836352, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105541194 and 105541203.

It is not an unprimeable number, because it can be changed into a prime (105541229) 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 7 ways as a sum of consecutive naturals, for example, 34582 + ... + 37509.

It is an arithmetic number, because the mean of its divisors is an integer number (8380695).

Almost surely, 2^105541224 is an apocalyptic number.

It is an amenable number.

105541224 is an abundant number, since it is smaller than the sum of its proper divisors (162641016).

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

105541224 is a wasteful number, since it uses less digits than its factorization.

105541224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72161 (or 72157 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 105541224 is about 10273.3258490131. The cubic root of 105541224 is about 472.5785899902.

Adding to 105541224 its reverse (422145501), we get a palindrome (527686725).

The spelling of 105541224 in words is "one hundred five million, five hundred forty-one thousand, two hundred twenty-four".