107168 has 24 divisors (see below), whose sum is σ = 224532. Its totient is φ = 50176.

The previous prime is 107137. The next prime is 107171. The reversal of 107168 is 861701.

It can be written as a sum of positive squares in 2 ways, for example, as 85264 + 21904 = 292^2 + 148^2 .

It is a super-2 number, since 2×107168² = 22969960448, which contains 22 as substring.

It is an unprimeable number.

107168 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 3 ways as a sum of consecutive naturals, for example, 446 + ... + 642.

2¹⁰⁷¹⁶⁸ 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 107168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112266).

107168 is an abundant number, since it is smaller than the sum of its proper divisors (117364).

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

107168 is a wasteful number, since it uses less digits than its factorization.

107168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 107168 is about 327.3652394498. The cubic root of 107168 is about 47.4994275093.

Adding to 107168 its reverse (861701), we get a palindrome (968869).

The spelling of 107168 in words is "one hundred seven thousand, one hundred sixty-eight".