214321104 has 120 divisors (see below), whose sum is σ = 634792704. Its totient is φ = 67392000.

The previous prime is 214321087. The next prime is 214321127. The reversal of 214321104 is 401123412.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182439 + ... + 183609.

Almost surely, 2^214321104 is an apocalyptic number.

214321104 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 214321104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317396352).

214321104 is an abundant number, since it is smaller than the sum of its proper divisors (420471600).

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

214321104 is a wasteful number, since it uses less digits than its factorization.

214321104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1248 counting only the distinct ones).

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

The square root of 214321104 is about 14639.7098331900. The cubic root of 214321104 is about 598.4414215610.

Adding to 214321104 its reverse (401123412), we get a palindrome (615444516).

The spelling of 214321104 in words is "two hundred fourteen million, three hundred twenty-one thousand, one hundred four".