100204200 has 144 divisors (see below), whose sum is σ = 339487200. Its totient is φ = 26486400.

The previous prime is 100204199. The next prime is 100204207. The reversal of 100204200 is 2402001.

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 (100204207) 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 35 ways as a sum of consecutive naturals, for example, 322045 + ... + 322355.

It is an arithmetic number, because the mean of its divisors is an integer number (2357550).

Almost surely, 2^100204200 is an apocalyptic number.

100204200 is a gapful number since it is divisible by the number (10) 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 100204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169743600).

100204200 is an abundant number, since it is smaller than the sum of its proper divisors (239283000).

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

100204200 is a wasteful number, since it uses less digits than its factorization.

100204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 500 counting only the distinct ones).

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

The square root of 100204200 is about 10010.2047931099. The cubic root of 100204200 is about 464.4746060367.

Adding to 100204200 its reverse (2402001), we get a palindrome (102606201).

The spelling of 100204200 in words is "one hundred million, two hundred four thousand, two hundred".