128342100 has 72 divisors (see below), whose sum is σ = 380010400. Its totient is φ = 33425280.

The previous prime is 128342099. The next prime is 128342117. The reversal of 128342100 is 1243821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7926 + ... + 17874.

Almost surely, 2^128342100 is an apocalyptic number.

128342100 is a gapful number since it is divisible by the number (10) 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 128342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190005200).

128342100 is an abundant number, since it is smaller than the sum of its proper divisors (251668300).

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

128342100 is a wasteful number, since it uses less digits than its factorization.

128342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10009 (or 10002 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 128342100 is about 11328.8172374701. The cubic root of 128342100 is about 504.4169986785.

Adding to 128342100 its reverse (1243821), we get a palindrome (129585921).

The spelling of 128342100 in words is "one hundred twenty-eight million, three hundred forty-two thousand, one hundred".