103168 has 36 divisors (see below), whose sum is σ = 228928. Its totient is φ = 46080.

The previous prime is 103141. The next prime is 103171. The reversal of 103168 is 861301.

It is an Ulam number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3313 + ... + 3343.

2¹⁰³¹⁶⁸ 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 103168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114464).

103168 is an abundant number, since it is smaller than the sum of its proper divisors (125760).

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

103168 is an equidigital number, since it uses as much as digits as its factorization.

103168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 103168 is about 321.1977583982. The cubic root of 103168 is about 46.9009533314.

Adding to 103168 its reverse (861301), we get a palindrome (964469).

It can be divided in two parts, 10316 and 8, that multiplied together give a palindrome (82528).

The spelling of 103168 in words is "one hundred three thousand, one hundred sixty-eight".