211103400 has 96 divisors (see below), whose sum is σ = 658172160. Its totient is φ = 55971840.

The previous prime is 211103351. The next prime is 211103411. The reversal of 211103400 is 4301112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 114889 + ... + 116711.

It is an arithmetic number, because the mean of its divisors is an integer number (6855960).

Almost surely, 2^211103400 is an apocalyptic number.

211103400 is a gapful number since it is divisible by the number (20) 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 211103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329086080).

211103400 is an abundant number, since it is smaller than the sum of its proper divisors (447068760).

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

211103400 is a wasteful number, since it uses less digits than its factorization.

211103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 211103400 is about 14529.3977851802. The cubic root of 211103400 is about 595.4314127542.

Adding to 211103400 its reverse (4301112), we get a palindrome (215404512).

The spelling of 211103400 in words is "two hundred eleven million, one hundred three thousand, four hundred".