214214100 has 144 divisors (see below), whose sum is σ = 641208960. Its totient is φ = 55193600.

The previous prime is 214214083. The next prime is 214214137. The reversal of 214214100 is 1412412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 214214100.

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 47 ways as a sum of consecutive naturals, for example, 1895644 + ... + 1895756.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^214214100 is an apocalyptic number.

214214100 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 214214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320604480).

214214100 is an abundant number, since it is smaller than the sum of its proper divisors (426994860).

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

214214100 is a wasteful number, since it uses less digits than its factorization.

214214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 214214100 is about 14636.0547962899. The cubic root of 214214100 is about 598.3418104562.

Adding to 214214100 its reverse (1412412), we get a palindrome (215626512).

The spelling of 214214100 in words is "two hundred fourteen million, two hundred fourteen thousand, one hundred".