104768 has 14 divisors (see below), whose sum is σ = 208026. Its totient is φ = 52352.

The previous prime is 104761. The next prime is 104773. The reversal of 104768 is 867401.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 43264 = 248^2 + 208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104761) by changing a digit.

104768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 755 + ... + 882.

It is an arithmetic number, because the mean of its divisors is an integer number (14859).

2¹⁰⁴⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

104768 is a deficient number, since it is larger than the sum of its proper divisors (103258).

104768 is an equidigital number, since it uses as much as digits as its factorization.

104768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1639 counting only the distinct ones).

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

The square root of 104768 is about 323.6788531863. The cubic root of 104768 is about 47.1421679903.

The spelling of 104768 in words is "one hundred four thousand, seven hundred sixty-eight".