212182100 has 72 divisors (see below), whose sum is σ = 525075768. Its totient is φ = 73728000.

The previous prime is 212182079. The next prime is 212182123. The reversal of 212182100 is 1281212.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 37994896 + 174187204 = 6164^2 + 13198^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17300 + ... + 26900.

It is an arithmetic number, because the mean of its divisors is an integer number (7292719).

Almost surely, 2^212182100 is an apocalyptic number.

212182100 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 212182100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262537884).

212182100 is an abundant number, since it is smaller than the sum of its proper divisors (312893668).

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

212182100 is a wasteful number, since it uses less digits than its factorization.

212182100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9645 (or 9638 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 212182100 is about 14566.4717759655. The cubic root of 212182100 is about 596.4438723069.

The spelling of 212182100 in words is "two hundred twelve million, one hundred eighty-two thousand, one hundred".