211132104 has 64 divisors (see below), whose sum is σ = 559776000. Its totient is φ = 66173760.

The previous prime is 211132091. The next prime is 211132109. The reversal of 211132104 is 401231112.

211132104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211132109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61719 + ... + 65049.

It is an arithmetic number, because the mean of its divisors is an integer number (8746500).

Almost surely, 2^211132104 is an apocalyptic number.

211132104 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 211132104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279888000).

211132104 is an abundant number, since it is smaller than the sum of its proper divisors (348643896).

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

211132104 is a wasteful number, since it uses less digits than its factorization.

211132104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 211132104 is about 14530.3855420288. The cubic root of 211132104 is about 595.4583987220.

Adding to 211132104 its reverse (401231112), we get a palindrome (612363216).

The spelling of 211132104 in words is "two hundred eleven million, one hundred thirty-two thousand, one hundred four".