108880128 has 216 divisors, whose sum is σ = 369457088. Its totient is φ = 30191616.

The previous prime is 108880117. The next prime is 108880129. The reversal of 108880128 is 821088801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108880092 and 108880101.

It is not an unprimeable number, because it can be changed into a prime (108880129) 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 23 ways as a sum of consecutive naturals, for example, 693426 + ... + 693582.

Almost surely, 2^108880128 is an apocalyptic number.

108880128 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 108880128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184728544).

108880128 is an abundant number, since it is smaller than the sum of its proper divisors (260576960).

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

108880128 is a wasteful number, since it uses less digits than its factorization.

108880128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 108880128 is about 10434.5641020600. The cubic root of 108880128 is about 477.5104433815.

The spelling of 108880128 in words is "one hundred eight million, eight hundred eighty thousand, one hundred twenty-eight".