211085900 has 18 divisors (see below), whose sum is σ = 458056620. Its totient is φ = 84434320.

The previous prime is 211085891. The next prime is 211085947. The reversal of 211085900 is 9580112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 211085900.

It is an unprimeable number.

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, 1055330 + ... + 1055529.

It is an arithmetic number, because the mean of its divisors is an integer number (25447590).

Almost surely, 2^211085900 is an apocalyptic number.

211085900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211085900 is an abundant number, since it is smaller than the sum of its proper divisors (246970720).

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

211085900 is a wasteful number, since it uses less digits than its factorization.

211085900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110873 (or 2110866 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 211085900 is about 14528.7955453988. The cubic root of 211085900 is about 595.4149589885.

The spelling of 211085900 in words is "two hundred eleven million, eighty-five thousand, nine hundred".