103768 has 32 divisors (see below), whose sum is σ = 237600. Its totient is φ = 41472.

The previous prime is 103723. The next prime is 103769. The reversal of 103768 is 867301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103769) by changing a digit.

103768 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 in 7 ways as a sum of consecutive naturals, for example, 898 + ... + 1006.

It is an arithmetic number, because the mean of its divisors is an integer number (7425).

2¹⁰³⁷⁶⁸ 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 103768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118800).

103768 is an abundant number, since it is smaller than the sum of its proper divisors (133832).

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

103768 is a wasteful number, since it uses less digits than its factorization.

103768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 103768 is about 322.1304083752. The cubic root of 103768 is about 46.9916991527.

The spelling of 103768 in words is "one hundred three thousand, seven hundred sixty-eight".