212067100 has 108 divisors (see below), whose sum is σ = 541465344. Its totient is φ = 71877120.

The previous prime is 212067083. The next prime is 212067103. The reversal of 212067100 is 1760212.

212067100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212067103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 553509 + ... + 553891.

It is an arithmetic number, because the mean of its divisors is an integer number (5013568).

Almost surely, 2^212067100 is an apocalyptic number.

212067100 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 212067100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270732672).

212067100 is an abundant number, since it is smaller than the sum of its proper divisors (329398244).

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

212067100 is a wasteful number, since it uses less digits than its factorization.

212067100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 212067100 is about 14562.5238197230. The cubic root of 212067100 is about 596.3360978357.

The spelling of 212067100 in words is "two hundred twelve million, sixty-seven thousand, one hundred".