4200100 has 36 divisors (see below), whose sum is σ = 9229444. Its totient is φ = 1658880.

The previous prime is 4200073. The next prime is 4200103. The reversal of 4200100 is 10024.

It can be written as a sum of positive squares in 6 ways, for example, as 605284 + 3594816 = 778^2 + 1896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9484 + ... + 9916.

Almost surely, 2^4200100 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 4200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614722).

4200100 is an abundant number, since it is smaller than the sum of its proper divisors (5029344).

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

4200100 is a wasteful number, since it uses less digits than its factorization.

4200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 4200100 is about 2049.4145505485. The cubic root of 4200100 is about 161.3441450912.

Adding to 4200100 its reverse (10024), we get a palindrome (4210124).

The spelling of 4200100 in words is "four million, two hundred thousand, one hundred".