107742709760 has 192 divisors, whose sum is σ = 301746332160. Its totient is φ = 36153262080.

The previous prime is 107742709717. The next prime is 107742709777. The reversal of 107742709760 is 67907247701.

It is a junction number, because it is equal to n+sod(n) for n = 107742709699 and 107742709708.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3352970 + ... + 3384950.

It is an arithmetic number, because the mean of its divisors is an integer number (1571595480).

Almost surely, 2^107742709760 is an apocalyptic number.

107742709760 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 107742709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150873166080).

107742709760 is an abundant number, since it is smaller than the sum of its proper divisors (194003622400).

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

107742709760 is an equidigital number, since it uses as much as digits as its factorization.

107742709760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32062 (or 32042 counting only the distinct ones).

The product of its (nonzero) digits is 1037232, while the sum is 50.

The spelling of 107742709760 in words is "one hundred seven billion, seven hundred forty-two million, seven hundred nine thousand, seven hundred sixty".