105223248 has 60 divisors (see below), whose sum is σ = 317136820. Its totient is φ = 32375808.

The previous prime is 105223247. The next prime is 105223249. The reversal of 105223248 is 842322501.

It is an interprime number because it is at equal distance from previous prime (105223247) and next prime (105223249).

It can be written as a sum of positive squares in 2 ways, for example, as 44195904 + 61027344 = 6648^2 + 7812^2 .

It is a super-2 number, since 2×105223248² = 22143863839339008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105223241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26233 + ... + 29976.

Almost surely, 2^105223248 is an apocalyptic number.

105223248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105223248 is an abundant number, since it is smaller than the sum of its proper divisors (211913572).

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

105223248 is a wasteful number, since it uses less digits than its factorization.

105223248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56236 (or 56227 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 105223248 is about 10257.8383687793. The cubic root of 105223248 is about 472.1035155514.

Adding to 105223248 its reverse (842322501), we get a palindrome (947545749).

The spelling of 105223248 in words is "one hundred five million, two hundred twenty-three thousand, two hundred forty-eight".