128105964 has 72 divisors (see below), whose sum is σ = 373621248. Its totient is φ = 36252000.

The previous prime is 128105947. The next prime is 128105969. The reversal of 128105964 is 469501821.

It is a super-2 number, since 2×128105964² = 32822276024738592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (128105969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24589 + ... + 29339.

It is an arithmetic number, because the mean of its divisors is an integer number (5189184).

Almost surely, 2^128105964 is an apocalyptic number.

128105964 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 128105964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186810624).

128105964 is an abundant number, since it is smaller than the sum of its proper divisors (245515284).

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

128105964 is a wasteful number, since it uses less digits than its factorization.

128105964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 128105964 is about 11318.3905216245. The cubic root of 128105964 is about 504.1074506353.

The spelling of 128105964 in words is "one hundred twenty-eight million, one hundred five thousand, nine hundred sixty-four".