107584088060 has 48 divisors (see below), whose sum is σ = 234112032000. Its totient is φ = 41479517184.

The previous prime is 107584088041. The next prime is 107584088071. The reversal of 107584088060 is 60880485701.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 107584087996 and 107584088014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187541 + ... + 500339.

It is an arithmetic number, because the mean of its divisors is an integer number (4877334000).

Almost surely, 2^107584088060 is an apocalyptic number.

107584088060 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 107584088060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117056016000).

107584088060 is an abundant number, since it is smaller than the sum of its proper divisors (126527943940).

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

107584088060 is a wasteful number, since it uses less digits than its factorization.

107584088060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313430 (or 313428 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 47.

The spelling of 107584088060 in words is "one hundred seven billion, five hundred eighty-four million, eighty-eight thousand, sixty".