213103640 has 64 divisors (see below), whose sum is σ = 492687360. Its totient is φ = 82917760.

The previous prime is 213103613. The next prime is 213103643. The reversal of 213103640 is 46301312.

It is a super-2 number, since 2×213103640² = 90826322762499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213103643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494225 + ... + 494655.

It is an arithmetic number, because the mean of its divisors is an integer number (7698240).

Almost surely, 2^213103640 is an apocalyptic number.

213103640 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 213103640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246343680).

213103640 is an abundant number, since it is smaller than the sum of its proper divisors (279583720).

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

213103640 is a wasteful number, since it uses less digits than its factorization.

213103640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 213103640 is about 14598.0697354137. The cubic root of 213103640 is about 597.3061081984.

Adding to 213103640 its reverse (46301312), we get a palindrome (259404952).

The spelling of 213103640 in words is "two hundred thirteen million, one hundred three thousand, six hundred forty".