107280 has 60 divisors (see below), whose sum is σ = 362700. Its totient is φ = 28416.

The previous prime is 107279. The next prime is 107309. The reversal of 107280 is 82701.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 82944 = 156^2 + 288^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 646 + ... + 794.

It is an arithmetic number, because the mean of its divisors is an integer number (6045).

2¹⁰⁷²⁸⁰ is an apocalyptic number.

107280 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 107280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181350).

107280 is an abundant number, since it is smaller than the sum of its proper divisors (255420).

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

107280 is a wasteful number, since it uses less digits than its factorization.

107280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 107280 is about 327.5362575349. The cubic root of 107280 is about 47.5159687768.

Adding to 107280 its reverse (82701), we get a palindrome (189981).

The spelling of 107280 in words is "one hundred seven thousand, two hundred eighty".