10000109200 has 30 divisors (see below), whose sum is σ = 24025263314. Its totient is φ = 4000043520.

The previous prime is 10000109149. The next prime is 10000109209. The reversal of 10000109200 is 290100001.

It can be written as a sum of positive squares in 3 ways, for example, as 2509056 + 9997600144 = 1584^2 + 99988^2 .

10000109200 is a modest number, since divided by 109200 gives 10000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10000109209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12499737 + ... + 12500536.

Almost surely, 2^10000109200 is an apocalyptic number.

10000109200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000109200 is an abundant number, since it is smaller than the sum of its proper divisors (14025154114).

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

10000109200 is a wasteful number, since it uses less digits than its factorization.

10000109200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25000291 (or 25000280 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10000109200 its reverse (290100001), we get a palindrome (10290209201).

The spelling of 10000109200 in words is "ten billion, one hundred nine thousand, two hundred".