200240100 has 180 divisors, whose sum is σ = 661676400. Its totient is φ = 52367040.

The previous prime is 200240083. The next prime is 200240101. The reversal of 200240100 is 1042002.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (200240101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 477691 + ... + 478109.

It is an arithmetic number, because the mean of its divisors is an integer number (3675980).

Almost surely, 2^200240100 is an apocalyptic number.

200240100 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 200240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330838200).

200240100 is an abundant number, since it is smaller than the sum of its proper divisors (461436300).

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

200240100 is a wasteful number, since it uses less digits than its factorization.

200240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 488 counting only the distinct ones).

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

The square root of 200240100 is about 14150.6218944610. The cubic root of 200240100 is about 585.0374729447.

Adding to 200240100 its reverse (1042002), we get a palindrome (201282102).

The spelling of 200240100 in words is "two hundred million, two hundred forty thousand, one hundred".