211243104 has 72 divisors (see below), whose sum is σ = 606132072. Its totient is φ = 69780480.

The previous prime is 211243099. The next prime is 211243117. The reversal of 211243104 is 401342112.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29299 + ... + 35789.

It is an arithmetic number, because the mean of its divisors is an integer number (8418501).

Almost surely, 2^211243104 is an apocalyptic number.

211243104 is a gapful number since it is divisible by the number (24) 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 211243104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303066036).

211243104 is an abundant number, since it is smaller than the sum of its proper divisors (394888968).

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

211243104 is a wasteful number, since it uses less digits than its factorization.

211243104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6620 (or 6609 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 211243104 is about 14534.2046222007. The cubic root of 211243104 is about 595.5627319829.

Adding to 211243104 its reverse (401342112), we get a palindrome (612585216).

The spelling of 211243104 in words is "two hundred eleven million, two hundred forty-three thousand, one hundred four".