2052100 has 18 divisors (see below), whose sum is σ = 4453274. Its totient is φ = 820800.

The previous prime is 2052097. The next prime is 2052109. The reversal of 2052100 is 12502.

It can be written as a sum of positive squares in 3 ways, for example, as 207936 + 1844164 = 456^2 + 1358^2 .

It is a super-2 number, since 2×2052100² = 8422228820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (2052109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10161 + ... + 10360.

2^2052100 is an apocalyptic number.

2052100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2052100 is an abundant number, since it is smaller than the sum of its proper divisors (2401174).

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

2052100 is a wasteful number, since it uses less digits than its factorization.

2052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20535 (or 20528 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 2052100 is about 1432.5152704247. The cubic root of 2052100 is about 127.0767717356.

Adding to 2052100 its reverse (12502), we get a palindrome (2064602).

The spelling of 2052100 in words is "two million, fifty-two thousand, one hundred".