213450100 has 72 divisors (see below), whose sum is σ = 481219200. Its totient is φ = 82118400.

The previous prime is 213450089. The next prime is 213450103. The reversal of 213450100 is 1054312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213450103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323571 + ... + 324229.

It is an arithmetic number, because the mean of its divisors is an integer number (6683600).

Almost surely, 2^213450100 is an apocalyptic number.

213450100 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 213450100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240609600).

213450100 is an abundant number, since it is smaller than the sum of its proper divisors (267769100).

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

213450100 is a wasteful number, since it uses less digits than its factorization.

213450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 213450100 is about 14609.9315535700. The cubic root of 213450100 is about 597.6296293852.

The spelling of 213450100 in words is "two hundred thirteen million, four hundred fifty thousand, one hundred".