107280320 has 112 divisors (see below), whose sum is σ = 298460160. Its totient is φ = 35963904.

The previous prime is 107280311. The next prime is 107280323. The reversal of 107280320 is 23082701.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107280323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104771 + ... + 105789.

Almost surely, 2^107280320 is an apocalyptic number.

107280320 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 107280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149230080).

107280320 is an abundant number, since it is smaller than the sum of its proper divisors (191179840).

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

107280320 is a wasteful number, since it uses less digits than its factorization.

107280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 107280320 is about 10357.6213485530. The cubic root of 107280320 is about 475.1601602110.

The spelling of 107280320 in words is "one hundred seven million, two hundred eighty thousand, three hundred twenty".