107107728 has 240 divisors, whose sum is σ = 360976896. Its totient is φ = 27095040.

The previous prime is 107107709. The next prime is 107107729. The reversal of 107107728 is 827701701.

It is a super-2 number, since 2×107107728² = 22944130794643968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107107729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947800 + ... + 947912.

Almost surely, 2^107107728 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 107107728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180488448).

107107728 is an abundant number, since it is smaller than the sum of its proper divisors (253869168).

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

107107728 is a wasteful number, since it uses less digits than its factorization.

107107728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 33.

The square root of 107107728 is about 10349.2863522081. The cubic root of 107107728 is about 474.9052117414.

The spelling of 107107728 in words is "one hundred seven million, one hundred seven thousand, seven hundred twenty-eight".