107564630528 has 80 divisors (see below), whose sum is σ = 217682942400. Its totient is φ = 53095182336.

The previous prime is 107564630527. The next prime is 107564630531. The reversal of 107564630528 is 825036465701.

It is not an unprimeable number, because it can be changed into a prime (107564630527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12735875 + ... + 12744317.

It is an arithmetic number, because the mean of its divisors is an integer number (2721036780).

Almost surely, 2^107564630528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107564630528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108841471200).

107564630528 is an abundant number, since it is smaller than the sum of its proper divisors (110118311872).

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

107564630528 is an equidigital number, since it uses as much as digits as its factorization.

107564630528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8777 (or 8761 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 107564630528 in words is "one hundred seven billion, five hundred sixty-four million, six hundred thirty thousand, five hundred twenty-eight".