107280930816 has 288 divisors, whose sum is σ = 325834825680. Its totient is φ = 35258499072.

The previous prime is 107280930689. The next prime is 107280930821. The reversal of 107280930816 is 618039082701.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36327996 + ... + 36330948.

Almost surely, 2^107280930816 is an apocalyptic number.

107280930816 is a gapful number since it is divisible by the number (16) 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 107280930816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162917412840).

107280930816 is an abundant number, since it is smaller than the sum of its proper divisors (218553894864).

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

107280930816 is an frugal number, since it uses more digits than its factorization.

107280930816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 107280930816 in words is "one hundred seven billion, two hundred eighty million, nine hundred thirty thousand, eight hundred sixteen".