214141104 has 80 divisors (see below), whose sum is σ = 635896800. Its totient is φ = 68914944.

The previous prime is 214141099. The next prime is 214141159. The reversal of 214141104 is 401141412.

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

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 15 ways as a sum of consecutive naturals, for example, 3982 + ... + 21074.

It is an arithmetic number, because the mean of its divisors is an integer number (7948710).

Almost surely, 2^214141104 is an apocalyptic number.

214141104 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 214141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317948400).

214141104 is an abundant number, since it is smaller than the sum of its proper divisors (421755696).

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

214141104 is a wasteful number, since it uses less digits than its factorization.

214141104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17139 (or 17127 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 214141104 is about 14633.5608790205. The cubic root of 214141104 is about 598.2738387077.

Adding to 214141104 its reverse (401141412), we get a palindrome (615282516).

The spelling of 214141104 in words is "two hundred fourteen million, one hundred forty-one thousand, one hundred four".