213532104 has 64 divisors (see below), whose sum is σ = 584755200. Its totient is φ = 64676864.

The previous prime is 213532103. The next prime is 213532153. The reversal of 213532104 is 401235312.

It is not an unprimeable number, because it can be changed into a prime (213532103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2809 + ... + 20855.

It is an arithmetic number, because the mean of its divisors is an integer number (9136800).

Almost surely, 2^213532104 is an apocalyptic number.

213532104 is a gapful number since it is divisible by the number (24) 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 213532104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292377600).

213532104 is an abundant number, since it is smaller than the sum of its proper divisors (371223096).

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

213532104 is a wasteful number, since it uses less digits than its factorization.

213532104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18102 (or 18098 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 213532104 is about 14612.7377311714. The cubic root of 213532104 is about 597.7061527278.

Adding to 213532104 its reverse (401235312), we get a palindrome (614767416).

The spelling of 213532104 in words is "two hundred thirteen million, five hundred thirty-two thousand, one hundred four".