128106384 has 160 divisors (see below), whose sum is σ = 399974400. Its totient is φ = 35280000.

The previous prime is 128106361. The next prime is 128106401. The reversal of 128106384 is 483601821.

It is a super-2 number, since 2×128106384² = 32822491243110912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510259 + ... + 510509.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^128106384 is an apocalyptic number.

128106384 is a gapful number since it is divisible by the number (14) 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 128106384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

128106384 is an abundant number, since it is smaller than the sum of its proper divisors (271868016).

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

128106384 is a wasteful number, since it uses less digits than its factorization.

128106384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 128106384 is about 11318.4090754841. The cubic root of 128106384 is about 504.1080015462.

The spelling of 128106384 in words is "one hundred twenty-eight million, one hundred six thousand, three hundred eighty-four".