107948907792 has 320 divisors, whose sum is σ = 353874493440. Its totient is φ = 31207680000.

The previous prime is 107948907769. The next prime is 107948907811. The reversal of 107948907792 is 297709849701.

107948907792 is a `hidden beast` number, since 10 + 79 + 489 + 0 + 7 + 79 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10453992 + ... + 10464312.

It is an arithmetic number, because the mean of its divisors is an integer number (1105857792).

Almost surely, 2^107948907792 is an apocalyptic number.

107948907792 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 107948907792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176937246720).

107948907792 is an abundant number, since it is smaller than the sum of its proper divisors (245925585648).

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

107948907792 is a wasteful number, since it uses less digits than its factorization.

107948907792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10451 (or 10439 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 63.

The spelling of 107948907792 in words is "one hundred seven billion, nine hundred forty-eight million, nine hundred seven thousand, seven hundred ninety-two".