2152100 has 18 divisors (see below), whose sum is σ = 4670274. Its totient is φ = 860800.

The previous prime is 2152093. The next prime is 2152103. The reversal of 2152100 is 12512.

It can be written as a sum of positive squares in 3 ways, for example, as 141376 + 2010724 = 376^2 + 1418^2 .

It is not an unprimeable number, because it can be changed into a prime (2152103) 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, 10661 + ... + 10860.

2^2152100 is an apocalyptic number.

2152100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2152100 is an abundant number, since it is smaller than the sum of its proper divisors (2518174).

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

2152100 is a wasteful number, since it uses less digits than its factorization.

2152100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21535 (or 21528 counting only the distinct ones).

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

The square root of 2152100 is about 1467.0037491431. The cubic root of 2152100 is about 129.1082959755.

Subtracting from 2152100 its sum of digits (11), we obtain a square (2152089 = 1467²).

Adding to 2152100 its reverse (12512), we get a palindrome (2164612).

The spelling of 2152100 in words is "two million, one hundred fifty-two thousand, one hundred".