107584416564 has 96 divisors (see below), whose sum is σ = 268481283840. Its totient is φ = 33411667968.

The previous prime is 107584416539. The next prime is 107584416629. The reversal of 107584416564 is 465614485701.

107584416564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42980937 + ... + 42983439.

It is an arithmetic number, because the mean of its divisors is an integer number (2796680040).

Almost surely, 2^107584416564 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 107584416564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134240641920).

107584416564 is an abundant number, since it is smaller than the sum of its proper divisors (160896867276).

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

107584416564 is a wasteful number, since it uses less digits than its factorization.

107584416564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4569 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 107584416564 in words is "one hundred seven billion, five hundred eighty-four million, four hundred sixteen thousand, five hundred sixty-four".