107677728 has 96 divisors (see below), whose sum is σ = 332579520. Its totient is φ = 33776640.

The previous prime is 107677727. The next prime is 107677729. The reversal of 107677728 is 827776701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107677727) and next prime (107677729).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (107677727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11023 + ... + 18353.

It is an arithmetic number, because the mean of its divisors is an integer number (3464370).

Almost surely, 2^107677728 is an apocalyptic number.

107677728 is a gapful number since it is divisible by the number (18) 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 107677728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166289760).

107677728 is an abundant number, since it is smaller than the sum of its proper divisors (224901792).

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

107677728 is a wasteful number, since it uses less digits than its factorization.

107677728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7367 (or 7353 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The square root of 107677728 is about 10376.7879423259. The cubic root of 107677728 is about 475.7461631797.

The spelling of 107677728 in words is "one hundred seven million, six hundred seventy-seven thousand, seven hundred twenty-eight".