200027100 has 288 divisors, whose sum is σ = 755951616. Its totient is φ = 39628800.

The previous prime is 200027071. The next prime is 200027129. The reversal of 200027100 is 1720002.

It is an interprime number because it is at equal distance from previous prime (200027071) and next prime (200027129).

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

200027100 is a modest number, since divided by 27100 gives 2000 as remainder.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 463885 + ... + 464315.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 2^200027100 is an apocalyptic number.

200027100 is a gapful number since it is divisible by the number (20) 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 200027100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377975808).

200027100 is an abundant number, since it is smaller than the sum of its proper divisors (555924516).

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

200027100 is a wasteful number, since it uses less digits than its factorization.

200027100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 200027100 is about 14143.0937209650. The cubic root of 200027100 is about 584.8299600765.

Adding to 200027100 its reverse (1720002), we get a palindrome (201747102).

The spelling of 200027100 in words is "two hundred million, twenty-seven thousand, one hundred".