213836100 has 72 divisors (see below), whose sum is σ = 620481120. Its totient is φ = 56858880.

The previous prime is 213836059. The next prime is 213836101. The reversal of 213836100 is 1638312.

213836100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×213836100³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (213836101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132096 + ... + 133704.

Almost surely, 2^213836100 is an apocalyptic number.

213836100 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 213836100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310240560).

213836100 is an abundant number, since it is smaller than the sum of its proper divisors (406645020).

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

213836100 is a wasteful number, since it uses less digits than its factorization.

213836100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 213836100 is about 14623.1357786215. The cubic root of 213836100 is about 597.9896606379.

The spelling of 213836100 in words is "two hundred thirteen million, eight hundred thirty-six thousand, one hundred".