107728016 has 80 divisors (see below), whose sum is σ = 238163328. Its totient is φ = 46771200.

The previous prime is 107727989. The next prime is 107728037. The reversal of 107728016 is 610827701.

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, 462236 + ... + 462468.

Almost surely, 2^107728016 is an apocalyptic number.

107728016 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 107728016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119081664).

107728016 is an abundant number, since it is smaller than the sum of its proper divisors (130435312).

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

107728016 is a wasteful number, since it uses less digits than its factorization.

107728016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 107728016 is about 10379.2107599759. The cubic root of 107728016 is about 475.8202131560.

The spelling of 107728016 in words is "one hundred seven million, seven hundred twenty-eight thousand, sixteen".