128162100 has 144 divisors (see below), whose sum is σ = 410973696. Its totient is φ = 30576000.

The previous prime is 128162071. The next prime is 128162143. The reversal of 128162100 is 1261821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234027 + ... + 234573.

It is an arithmetic number, because the mean of its divisors is an integer number (2853984).

Almost surely, 2^128162100 is an apocalyptic number.

128162100 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 128162100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205486848).

128162100 is an abundant number, since it is smaller than the sum of its proper divisors (282811596).

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

128162100 is a wasteful number, since it uses less digits than its factorization.

128162100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 128162100 is about 11320.8701079025. The cubic root of 128162100 is about 504.1810731337.

The spelling of 128162100 in words is "one hundred twenty-eight million, one hundred sixty-two thousand, one hundred".