211042104 has 128 divisors (see below), whose sum is σ = 658990080. Its totient is φ = 54835200.

The previous prime is 211042057. The next prime is 211042121. The reversal of 211042104 is 401240112.

211042104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154384 + ... + 155744.

It is an arithmetic number, because the mean of its divisors is an integer number (5148360).

Almost surely, 2^211042104 is an apocalyptic number.

211042104 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 211042104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329495040).

211042104 is an abundant number, since it is smaller than the sum of its proper divisors (447947976).

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

211042104 is a wasteful number, since it uses less digits than its factorization.

211042104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 211042104 is about 14527.2882534904. The cubic root of 211042104 is about 595.3737773381.

Adding to 211042104 its reverse (401240112), we get a palindrome (612282216).

The spelling of 211042104 in words is "two hundred eleven million, forty-two thousand, one hundred four".