212868100 has 27 divisors (see below), whose sum is σ = 462240597. Its totient is φ = 85088880.

The previous prime is 212868049. The next prime is 212868109. The reversal of 212868100 is 1868212.

The square root of 212868100 is 14590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 76632516 + 136235584 = 8754^2 + 11672^2 .

It is a super-2 number, since 2×212868100² = 90625655995220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212868109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 145171 + ... + 146629.

Almost surely, 2^212868100 is an apocalyptic number.

212868100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212868100 is the 14590-th square number.

It is an amenable number.

212868100 is an abundant number, since it is smaller than the sum of its proper divisors (249372497).

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

212868100 is an equidigital number, since it uses as much as digits as its factorization.

212868100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The cubic root of 212868100 is about 597.0859628167.

It can be divided in two parts, 2128 and 68100, that multiplied together give a triangular number (144916800 = T₁₇₀₂₄).

The spelling of 212868100 in words is "two hundred twelve million, eight hundred sixty-eight thousand, one hundred".