213452100 has 81 divisors (see below), whose sum is σ = 670430397. Its totient is φ = 56803680.

The previous prime is 213452069. The next prime is 213452111. The reversal of 213452100 is 1254312.

The square root of 213452100 is 14610.

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

213452100 is a `hidden beast` number, since 213 + 452 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76842756 + 136609344 = 8766^2 + 11688^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 438057 + ... + 438543.

Almost surely, 2^213452100 is an apocalyptic number.

213452100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

213452100 is the 14610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213452100

213452100 is an abundant number, since it is smaller than the sum of its proper divisors (456978297).

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

213452100 is a wasteful number, since it uses less digits than its factorization.

213452100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The cubic root of 213452100 is about 597.6314959503.

The spelling of 213452100 in words is "two hundred thirteen million, four hundred fifty-two thousand, one hundred".