107120 has 40 divisors (see below), whose sum is σ = 270816. Its totient is φ = 39168.

The previous prime is 107119. The next prime is 107123. The reversal of 107120 is 21701.

107120 = 4² + 5² + ... + 68².

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×107120² = 22949388800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107123) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 989 + ... + 1091.

2¹⁰⁷¹²⁰ is an apocalyptic number.

107120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135408).

107120 is an abundant number, since it is smaller than the sum of its proper divisors (163696).

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

107120 is a wasteful number, since it uses less digits than its factorization.

107120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 107120 is about 327.2919186292. The cubic root of 107120 is about 47.4923348666.

Adding to 107120 its reverse (21701), we get a palindrome (128821).

The spelling of 107120 in words is "one hundred seven thousand, one hundred twenty", and thus it is an iban number.