2129100 has 72 divisors (see below), whose sum is σ = 6332928. Its totient is φ = 552000.

The previous prime is 2129069. The next prime is 2129107. The reversal of 2129100 is 19212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2129100.

It is not an unprimeable number, because it can be changed into a prime (2129107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14025 + ... + 14175.

2^2129100 is an apocalyptic number.

2129100 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 2129100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166464).

2129100 is an abundant number, since it is smaller than the sum of its proper divisors (4203828).

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

2129100 is a wasteful number, since it uses less digits than its factorization.

2129100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2129100 is about 1459.1435844357. The cubic root of 2129100 is about 128.6467107616.

The spelling of 2129100 in words is "two million, one hundred twenty-nine thousand, one hundred".