4052100 has 72 divisors (see below), whose sum is σ = 12638080. Its totient is φ = 996480.

The previous prime is 4052099. The next prime is 4052101. The reversal of 4052100 is 12504.

4052100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4052099) and next prime (4052101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (4052101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3381 + ... + 4419.

Almost surely, 2^4052100 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 4052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319040).

4052100 is an abundant number, since it is smaller than the sum of its proper divisors (8585980).

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

4052100 is a wasteful number, since it uses less digits than its factorization.

4052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 4052100 is about 2012.9828613279. The cubic root of 4052100 is about 159.4263310243.

Adding to 4052100 its reverse (12504), we get a palindrome (4064604).

The spelling of 4052100 in words is "four million, fifty-two thousand, one hundred".