4102200 has 144 divisors (see below), whose sum is σ = 14362920. Its totient is φ = 1048320.

The previous prime is 4102193. The next prime is 4102223. The reversal of 4102200 is 22014.

4102200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 77374 + ... + 77426.

Almost surely, 2^4102200 is an apocalyptic number.

4102200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7181460).

4102200 is an abundant number, since it is smaller than the sum of its proper divisors (10260720).

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

4102200 is a wasteful number, since it uses less digits than its factorization.

4102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4102200 is about 2025.3888515542. The cubic root of 4102200 is about 160.0806884684.

Adding to 4102200 its reverse (22014), we get a palindrome (4124214).

The spelling of 4102200 in words is "four million, one hundred two thousand, two hundred".