107789007312 has 640 divisors, whose sum is σ = 389943296000. Its totient is φ = 27814440960.

The previous prime is 107789007301. The next prime is 107789007329. The reversal of 107789007312 is 213700987701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130022514 + ... + 130023342.

It is an arithmetic number, because the mean of its divisors is an integer number (609286400).

Almost surely, 2^107789007312 is an apocalyptic number.

107789007312 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 107789007312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194971648000).

107789007312 is an abundant number, since it is smaller than the sum of its proper divisors (282154288688).

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

107789007312 is a wasteful number, since it uses less digits than its factorization.

107789007312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 107789007312 in words is "one hundred seven billion, seven hundred eighty-nine million, seven thousand, three hundred twelve".