128816100 has 324 divisors, whose sum is σ = 493968384. Its totient is φ = 27941760.

The previous prime is 128816087. The next prime is 128816101. The reversal of 128816100 is 1618821.

It is not an unprimeable number, because it can be changed into a prime (128816101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1014237 + ... + 1014363.

Almost surely, 2^128816100 is an apocalyptic number.

128816100 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 128816100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246984192).

128816100 is an abundant number, since it is smaller than the sum of its proper divisors (365152284).

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

128816100 is a wasteful number, since it uses less digits than its factorization.

128816100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 128816100 is about 11349.7180581722. The cubic root of 128816100 is about 505.0372158307.

It can be divided in two parts, 12881 and 6100, that added together give a palindrome (18981).

The spelling of 128816100 in words is "one hundred twenty-eight million, eight hundred sixteen thousand, one hundred".