105232248 has 144 divisors (see below), whose sum is σ = 321179040. Its totient is φ = 31088640.

The previous prime is 105232247. The next prime is 105232249. The reversal of 105232248 is 842232501.

It is an interprime number because it is at equal distance from previous prime (105232247) and next prime (105232249).

It is a super-2 number, since 2×105232248² = 22147652038267008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105232243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 409336 + ... + 409592.

It is an arithmetic number, because the mean of its divisors is an integer number (2230410).

Almost surely, 2^105232248 is an apocalyptic number.

105232248 is a gapful number since it is divisible by the number (18) 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 105232248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160589520).

105232248 is an abundant number, since it is smaller than the sum of its proper divisors (215946792).

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

105232248 is a wasteful number, since it uses less digits than its factorization.

105232248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 320 counting only the distinct ones).

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

The square root of 105232248 is about 10258.2770483157. The cubic root of 105232248 is about 472.1169752211.

Adding to 105232248 its reverse (842232501), we get a palindrome (947464749).

The spelling of 105232248 in words is "one hundred five million, two hundred thirty-two thousand, two hundred forty-eight".