107677807872 has 144 divisors (see below), whose sum is σ = 291809125440. Its totient is φ = 35242131456.

The previous prime is 107677807841. The next prime is 107677807901. The reversal of 107677807872 is 278708776701.

107677807872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 12834463 + ... + 12842849.

It is an arithmetic number, because the mean of its divisors is an integer number (2026452260).

Almost surely, 2^107677807872 is an apocalyptic number.

107677807872 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 107677807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145904562720).

107677807872 is an abundant number, since it is smaller than the sum of its proper divisors (184131317568).

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

107677807872 is an equidigital number, since it uses as much as digits as its factorization.

107677807872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8708 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 12907776, while the sum is 60.

The spelling of 107677807872 in words is "one hundred seven billion, six hundred seventy-seven million, eight hundred seven thousand, eight hundred seventy-two".