109812800200 has 24 divisors (see below), whose sum is σ = 255314760930. Its totient is φ = 43925120000.

The previous prime is 109812800189. The next prime is 109812800213. The reversal of 109812800200 is 2008218901.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 100840542916 + 8972257284 = 317554^2 + 94722^2 .

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 5 ways as a sum of consecutive naturals, for example, 274531801 + ... + 274532200.

Almost surely, 2^109812800200 is an apocalyptic number.

109812800200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109812800200 is an abundant number, since it is smaller than the sum of its proper divisors (145501960730).

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

109812800200 is a wasteful number, since it uses less digits than its factorization.

109812800200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549064017 (or 549064008 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 109812800200 in words is "one hundred nine billion, eight hundred twelve million, eight hundred thousand, two hundred".