213818100 has 72 divisors (see below), whose sum is σ = 624522528. Its totient is φ = 56476800.

The previous prime is 213818083. The next prime is 213818113. The reversal of 213818100 is 1818312.

It is a super-2 number, since 2×213818100² = 91436359775220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28770 + ... + 35430.

It is an arithmetic number, because the mean of its divisors is an integer number (8673924).

Almost surely, 2^213818100 is an apocalyptic number.

213818100 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 213818100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312261264).

213818100 is an abundant number, since it is smaller than the sum of its proper divisors (410704428).

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

213818100 is a wasteful number, since it uses less digits than its factorization.

213818100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6785 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 213818100 is about 14622.5203026017. The cubic root of 213818100 is about 597.9728812510.

The spelling of 213818100 in words is "two hundred thirteen million, eight hundred eighteen thousand, one hundred".