107845805760 has 896 divisors, whose sum is σ = 464052879360. Its totient is φ = 20536934400.

The previous prime is 107845805689. The next prime is 107845805797. The reversal of 107845805760 is 67508548701.

It is a happy 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, 43537642 + ... + 43540118.

It is an arithmetic number, because the mean of its divisors is an integer number (517916160).

Almost surely, 2^107845805760 is an apocalyptic number.

107845805760 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 107845805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232026439680).

107845805760 is an abundant number, since it is smaller than the sum of its proper divisors (356207073600).

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

107845805760 is a wasteful number, since it uses less digits than its factorization.

107845805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 51.

The spelling of 107845805760 in words is "one hundred seven billion, eight hundred forty-five million, eight hundred five thousand, seven hundred sixty".