2128100 has 36 divisors (see below), whose sum is σ = 4976244. Its totient is φ = 785280.

The previous prime is 2128099. The next prime is 2128103. The reversal of 2128100 is 18212.

It can be written as a sum of positive squares in 6 ways, for example, as 763876 + 1364224 = 874^2 + 1168^2 .

It is a super-2 number, since 2×2128100² = 9057619220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2128103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 482 + ... + 2118.

It is an arithmetic number, because the mean of its divisors is an integer number (138229).

2^2128100 is an apocalyptic number.

2128100 is a gapful number since it is divisible by the number (20) 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 2128100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488122).

2128100 is an abundant number, since it is smaller than the sum of its proper divisors (2848144).

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

2128100 is a wasteful number, since it uses less digits than its factorization.

2128100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2128100 is about 1458.8008774332. The cubic root of 2128100 is about 128.6265665916.

The spelling of 2128100 in words is "two million, one hundred twenty-eight thousand, one hundred".