213108 has 48 divisors (see below), whose sum is σ = 591360. Its totient is φ = 58464.

The previous prime is 213097. The next prime is 213119. The reversal of 213108 is 801312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213097) and next prime (213119).

It is a congruent number.

It is an unprimeable number.

213108 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3583 + ... + 3641.

It is an arithmetic number, because the mean of its divisors is an integer number (12320).

2²¹³¹⁰⁸ is an apocalyptic number.

213108 is a gapful number since it is divisible by the number (28) 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 213108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295680).

213108 is an abundant number, since it is smaller than the sum of its proper divisors (378252).

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

213108 is a wasteful number, since it uses less digits than its factorization.

213108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 213108 is about 461.6362204160. The cubic root of 213108 is about 59.7310181704.

The spelling of 213108 in words is "two hundred thirteen thousand, one hundred eight".