107846311680 has 576 divisors, whose sum is σ = 404409815040. Its totient is φ = 27172454400.

The previous prime is 107846311669. The next prime is 107846311687. The reversal of 107846311680 is 86113648701.

107846311680 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 4 + 631 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107846311687) 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 63 ways as a sum of consecutive naturals, for example, 46067310 + ... + 46069650.

Almost surely, 2^107846311680 is an apocalyptic number.

107846311680 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 107846311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202204907520).

107846311680 is an abundant number, since it is smaller than the sum of its proper divisors (296563503360).

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

107846311680 is a wasteful number, since it uses less digits than its factorization.

107846311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 107846311680 in words is "one hundred seven billion, eight hundred forty-six million, three hundred eleven thousand, six hundred eighty".