103648 has 24 divisors (see below), whose sum is σ = 211680. Its totient is φ = 49920.

The previous prime is 103643. The next prime is 103651. The reversal of 103648 is 846301.

103648 is nontrivially palindromic in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103648.

It is not an unprimeable number, because it can be changed into a prime (103643) by changing a digit.

103648 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 3 ways as a sum of consecutive naturals, for example, 1273 + ... + 1351.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2¹⁰³⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

103648 is an abundant number, since it is smaller than the sum of its proper divisors (108032).

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

103648 is an equidigital number, since it uses as much as digits as its factorization.

103648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 103648 is about 321.9440945257. The cubic root of 103648 is about 46.9735780268.

Adding to 103648 its reverse (846301), we get a palindrome (949949).

The spelling of 103648 in words is "one hundred three thousand, six hundred forty-eight".