105424288 has 12 divisors (see below), whose sum is σ = 207554130. Its totient is φ = 52712128.

The previous prime is 105424283. The next prime is 105424289. The reversal of 105424288 is 882424501.

It can be written as a sum of positive squares in only one way, i.e., 73479184 + 31945104 = 8572^2 + 5652^2 .

It is a super-2 number, since 2×105424288² = 22228561000613888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105424283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1647223 + ... + 1647286.

Almost surely, 2^105424288 is an apocalyptic number.

It is an amenable number.

105424288 is a deficient number, since it is larger than the sum of its proper divisors (102129842).

105424288 is an equidigital number, since it uses as much as digits as its factorization.

105424288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294519 (or 3294511 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 105424288 is about 10267.6330281131. The cubic root of 105424288 is about 472.4039919525.

Adding to 105424288 its reverse (882424501), we get a palindrome (987848789).

It can be divided in two parts, 1054 and 24288, that multiplied together give a palindrome (25599552).

The spelling of 105424288 in words is "one hundred five million, four hundred twenty-four thousand, two hundred eighty-eight".