214459100 has 72 divisors (see below), whose sum is σ = 478302720. Its totient is φ = 83436480.

The previous prime is 214459093. The next prime is 214459111. The reversal of 214459100 is 1954412.

It is a self number, because there is not a number n which added to its sum of digits gives 214459100.

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, 961589 + ... + 961811.

Almost surely, 2^214459100 is an apocalyptic number.

214459100 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 214459100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239151360).

214459100 is an abundant number, since it is smaller than the sum of its proper divisors (263843620).

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

214459100 is a wasteful number, since it uses less digits than its factorization.

214459100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 214459100 is about 14644.4221463327. The cubic root of 214459100 is about 598.5698344937.

The spelling of 214459100 in words is "two hundred fourteen million, four hundred fifty-nine thousand, one hundred".