128105208 has 144 divisors (see below), whose sum is σ = 440420760. Its totient is φ = 33264000.

The previous prime is 128105207. The next prime is 128105231. The reversal of 128105208 is 802501821.

128105208 is a `hidden beast` number, since 128 + 10 + 520 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128105203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37158 + ... + 40458.

Almost surely, 2^128105208 is an apocalyptic number.

128105208 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 128105208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220210380).

128105208 is an abundant number, since it is smaller than the sum of its proper divisors (312315552).

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

128105208 is a wasteful number, since it uses less digits than its factorization.

128105208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 128105208 is about 11318.3571246007. The cubic root of 128105208 is about 504.1064589928.

The spelling of 128105208 in words is "one hundred twenty-eight million, one hundred five thousand, two hundred eight".