106128 has 60 divisors (see below), whose sum is σ = 328848. Its totient is φ = 31680.

The previous prime is 106123. The next prime is 106129. The reversal of 106128 is 821601.

It is a super-2 number, since 2×106128² = 22526304768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 106128.

It is not an unprimeable number, because it can be changed into a prime (106121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1551 + ... + 1617.

2¹⁰⁶¹²⁸ is an apocalyptic number.

106128 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 106128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164424).

106128 is an abundant number, since it is smaller than the sum of its proper divisors (222720).

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

106128 is a wasteful number, since it uses less digits than its factorization.

106128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 106128 is about 325.7729270520. The cubic root of 106128 is about 47.3452768027.

Adding to 106128 its reverse (821601), we get a palindrome (927729).

It can be divided in two parts, 1061 and 28, that added together give a square (1089 = 33²).

The spelling of 106128 in words is "one hundred six thousand, one hundred twenty-eight".