108352 has 14 divisors (see below), whose sum is σ = 215138. Its totient is φ = 54144.

The previous prime is 108347. The next prime is 108359. The reversal of 108352 is 253801.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 87616 + 20736 = 296^2 + 144^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108359) by changing a digit.

108352 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, 783 + ... + 910.

It is an arithmetic number, because the mean of its divisors is an integer number (15367).

2¹⁰⁸³⁵² is an apocalyptic number.

It is an amenable number.

108352 is a deficient number, since it is larger than the sum of its proper divisors (106786).

108352 is an equidigital number, since it uses as much as digits as its factorization.

108352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 108352 is about 329.1686497831. The cubic root of 108352 is about 47.6737129677.

The spelling of 108352 in words is "one hundred eight thousand, three hundred fifty-two".