214055100 has 216 divisors, whose sum is σ = 780762528. Its totient is φ = 48038400.

The previous prime is 214055081. The next prime is 214055113. The reversal of 214055100 is 1550412.

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 71 ways as a sum of consecutive naturals, for example, 384022 + ... + 384578.

Almost surely, 2^214055100 is an apocalyptic number.

214055100 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 214055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390381264).

214055100 is an abundant number, since it is smaller than the sum of its proper divisors (566707428).

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

214055100 is a wasteful number, since it uses less digits than its factorization.

214055100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 214055100 is about 14630.6219963473. The cubic root of 214055100 is about 598.1937344646.

The spelling of 214055100 in words is "two hundred fourteen million, fifty-five thousand, one hundred".