213272100 has 108 divisors (see below), whose sum is σ = 697622016. Its totient is φ = 54394560.

The previous prime is 213272083. The next prime is 213272173. The reversal of 213272100 is 1272312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15549 + ... + 25851.

Almost surely, 2^213272100 is an apocalyptic number.

213272100 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 213272100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348811008).

213272100 is an abundant number, since it is smaller than the sum of its proper divisors (484349916).

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

213272100 is a wasteful number, since it uses less digits than its factorization.

213272100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10346 (or 10336 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 213272100 is about 14603.8385364944. The cubic root of 213272100 is about 597.4634583723.

The spelling of 213272100 in words is "two hundred thirteen million, two hundred seventy-two thousand, one hundred".