199272095360100 has 144 divisors (see below), whose sum is σ = 732140439318400. Its totient is φ = 45547907506560.

The previous prime is 199272095360099. The next prime is 199272095360141. The reversal of 199272095360100 is 1063590272991.

199272095360100 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 7 + 20 + 9 + 5 + 3 + 601 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5271729655 + ... + 5271767454.

Almost surely, 2^{199272095360100} is an apocalyptic number.

199272095360100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199272095360100 is an abundant number, since it is smaller than the sum of its proper divisors (532868343958300).

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

199272095360100 is a wasteful number, since it uses less digits than its factorization.

199272095360100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10543497139 (or 10543497126 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 199272095360100 in words is "one hundred ninety-nine trillion, two hundred seventy-two billion, ninety-five million, three hundred sixty thousand, one hundred".