107685678132 has 72 divisors (see below), whose sum is σ = 276235202880. Its totient is φ = 35364551040.

The previous prime is 107685678103. The next prime is 107685678137. The reversal of 107685678132 is 231876586701.

It is a happy number.

107685678132 is a `hidden beast` number, since 1 + 0 + 7 + 68 + 567 + 8 + 13 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107685678137) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3776344 + ... + 3804752.

It is an arithmetic number, because the mean of its divisors is an integer number (3836600040).

Almost surely, 2^107685678132 is an apocalyptic number.

107685678132 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 107685678132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138117601440).

107685678132 is an abundant number, since it is smaller than the sum of its proper divisors (168549524748).

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

107685678132 is a wasteful number, since it uses less digits than its factorization.

107685678132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29973 (or 29968 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 107685678132 in words is "one hundred seven billion, six hundred eighty-five million, six hundred seventy-eight thousand, one hundred thirty-two".