200103828 has 48 divisors (see below), whose sum is σ = 484841280. Its totient is φ = 64157184.

The previous prime is 200103823. The next prime is 200103829. The reversal of 200103828 is 828301002.

It is a junction number, because it is equal to n+sod(n) for n = 200103798 and 200103807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200103823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105900 + ... + 107772.

It is an arithmetic number, because the mean of its divisors is an integer number (10100860).

Almost surely, 2^200103828 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 200103828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242420640).

200103828 is an abundant number, since it is smaller than the sum of its proper divisors (284737452).

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

200103828 is a wasteful number, since it uses less digits than its factorization.

200103828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 200103828 is about 14145.8060215740. The cubic root of 200103828 is about 584.9047284402.

The spelling of 200103828 in words is "two hundred million, one hundred three thousand, eight hundred twenty-eight".