2100512 has 24 divisors (see below), whose sum is σ = 4238892. Its totient is φ = 1024000.

The previous prime is 2100493. The next prime is 2100523. The reversal of 2100512 is 2150012.

It can be written as a sum of positive squares in 2 ways, for example, as 2085136 + 15376 = 1444^2 + 124^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2100493 and 2100502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 512 + ... + 2112.

2^2100512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119446).

2100512 is an abundant number, since it is smaller than the sum of its proper divisors (2138380).

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

2100512 is a wasteful number, since it uses less digits than its factorization.

2100512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 2100512 is about 1449.3143206358. The cubic root of 2100512 is about 128.0683228996.

Adding to 2100512 its reverse (2150012), we get a palindrome (4250524).

The spelling of 2100512 in words is "two million, one hundred thousand, five hundred twelve".