107530320 has 160 divisors (see below), whose sum is σ = 349977600. Its totient is φ = 27279360.

The previous prime is 107530309. The next prime is 107530327. The reversal of 107530320 is 23035701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107530327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721606 + ... + 721754.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 2^107530320 is an apocalyptic number.

107530320 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 107530320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

107530320 is an abundant number, since it is smaller than the sum of its proper divisors (242447280).

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

107530320 is a wasteful number, since it uses less digits than its factorization.

107530320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 107530320 is about 10369.6827338159. The cubic root of 107530320 is about 475.5289693441.

The spelling of 107530320 in words is "one hundred seven million, five hundred thirty thousand, three hundred twenty".