107730720 has 144 divisors (see below), whose sum is σ = 372677760. Its totient is φ = 28334592.

The previous prime is 107730719. The next prime is 107730743. The reversal of 107730720 is 27037701.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113287 + ... + 114233.

It is an arithmetic number, because the mean of its divisors is an integer number (2588040).

Almost surely, 2^107730720 is an apocalyptic number.

107730720 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 107730720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186338880).

107730720 is an abundant number, since it is smaller than the sum of its proper divisors (264947040).

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

107730720 is a wasteful number, since it uses less digits than its factorization.

107730720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 107730720 is about 10379.3410195445. The cubic root of 107730720 is about 475.8241941913.

The spelling of 107730720 in words is "one hundred seven million, seven hundred thirty thousand, seven hundred twenty".