103248 has 40 divisors (see below), whose sum is σ = 297600. Its totient is φ = 34272.
The previous prime is 103237. The next prime is 103289. The reversal of 103248 is 842301.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 103248.
It is a congruent number.
It is an unprimeable number.
103248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313 + ... + 551.
It is an arithmetic number, because the mean of its divisors is an integer number (7440).
2103248 is an apocalyptic number.
103248 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 103248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148800).
103248 is an abundant number, since it is smaller than the sum of its proper divisors (194352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103248 is a wasteful number, since it uses less digits than its factorization.
103248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 256 (or 244 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 103248 is about 321.3222681359. The cubic root of 103248 is about 46.9130730677.
Adding to 103248 its reverse (842301), we get a palindrome (945549).
It can be divided in two parts, 103 and 248, that added together give a triangular number (351 = T26).
The spelling of 103248 in words is "one hundred three thousand, two hundred forty-eight".
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