107728 has 10 divisors (see below), whose sum is σ = 208754. Its totient is φ = 53856.

The previous prime is 107719. The next prime is 107741. The reversal of 107728 is 827701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 107584 + 144 = 328^2 + 12^2 .

It is a congruent number.

It is an unprimeable number.

107728 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 as a sum of consecutive naturals, namely, 3351 + ... + 3382.

2¹⁰⁷⁷²⁸ is an apocalyptic number.

It is an amenable number.

107728 is a deficient number, since it is larger than the sum of its proper divisors (101026).

107728 is an equidigital number, since it uses as much as digits as its factorization.

107728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6741 (or 6735 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 107728 is about 328.2194387906. The cubic root of 107728 is about 47.5820189599.

The spelling of 107728 in words is "one hundred seven thousand, seven hundred twenty-eight".