107648 has 24 divisors (see below), whose sum is σ = 222105. Its totient is φ = 51968.

The previous prime is 107647. The next prime is 107671. The reversal of 107648 is 846701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 107584 + 64 = 328^2 + 8^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=232.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (107641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3698 + ... + 3726.

2¹⁰⁷⁶⁴⁸ 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 107648

107648 is an abundant number, since it is smaller than the sum of its proper divisors (114457).

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

107648 is an frugal number, since it uses more digits than its factorization.

107648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 107648 is about 328.0975464706. The cubic root of 107648 is about 47.5702377326.

The spelling of 107648 in words is "one hundred seven thousand, six hundred forty-eight".