107128 has 16 divisors (see below), whose sum is σ = 229680. Its totient is φ = 45888.

The previous prime is 107123. The next prime is 107137. The reversal of 107128 is 821701.

It is a super-2 number, since 2×107128² = 22952816768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107123) by changing a digit.

107128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 901 + ... + 1012.

It is an arithmetic number, because the mean of its divisors is an integer number (14355).

2¹⁰⁷¹²⁸ is an apocalyptic number.

It is an amenable number.

107128 is an abundant number, since it is smaller than the sum of its proper divisors (122552).

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

107128 is a wasteful number, since it uses less digits than its factorization.

107128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 107128 is about 327.3041399066. The cubic root of 107128 is about 47.4935171208.

Adding to 107128 its reverse (821701), we get a palindrome (928829).

The spelling of 107128 in words is "one hundred seven thousand, one hundred twenty-eight".