107530752 has 160 divisors (see below), whose sum is σ = 334300032. Its totient is φ = 30081024.

The previous prime is 107530691. The next prime is 107530757. The reversal of 107530752 is 257035701.

It is not an unprimeable number, because it can be changed into a prime (107530757) 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, 784828 + ... + 784964.

Almost surely, 2^107530752 is an apocalyptic number.

107530752 is a gapful number since it is divisible by the number (12) 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 107530752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167150016).

107530752 is an abundant number, since it is smaller than the sum of its proper divisors (226769280).

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

107530752 is an equidigital number, since it uses as much as digits as its factorization.

107530752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 107530752 is about 10369.7035637476. The cubic root of 107530752 is about 475.5296061513.

The spelling of 107530752 in words is "one hundred seven million, five hundred thirty thousand, seven hundred fifty-two".