107280768 has 128 divisors (see below), whose sum is σ = 329598720. Its totient is φ = 30283776.

The previous prime is 107280751. The next prime is 107280781. The reversal of 107280768 is 867082701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287430 + ... + 287802.

It is an arithmetic number, because the mean of its divisors is an integer number (2574990).

Almost surely, 2^107280768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164799360).

107280768 is an abundant number, since it is smaller than the sum of its proper divisors (222317952).

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

107280768 is a wasteful number, since it uses less digits than its factorization.

107280768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 107280768 is about 10357.6429751175. The cubic root of 107280768 is about 475.1608216291.

It can be divided in two parts, 107 and 280768, that added together give a triangular number (280875 = T₇₄₉).

The spelling of 107280768 in words is "one hundred seven million, two hundred eighty thousand, seven hundred sixty-eight".