107728620 has 96 divisors (see below), whose sum is σ = 315645120. Its totient is φ = 27417600.

The previous prime is 107728603. The next prime is 107728667. The reversal of 107728620 is 26827701.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175434 + ... + 176046.

It is an arithmetic number, because the mean of its divisors is an integer number (3287970).

Almost surely, 2^107728620 is an apocalyptic number.

107728620 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 107728620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157822560).

107728620 is an abundant number, since it is smaller than the sum of its proper divisors (207916500).

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

107728620 is a wasteful number, since it uses less digits than its factorization.

107728620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 107728620 is about 10379.2398565598. The cubic root of 107728620 is about 475.8211024167.

The spelling of 107728620 in words is "one hundred seven million, seven hundred twenty-eight thousand, six hundred twenty".