210245142300 has 144 divisors (see below), whose sum is σ = 636406267392. Its totient is φ = 53533990400.

The previous prime is 210245142271. The next prime is 210245142311. The reversal of 210245142300 is 3241542012.

210245142300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396259 + ... + 759941.

It is an arithmetic number, because the mean of its divisors is an integer number (4419487968).

Almost surely, 2^210245142300 is an apocalyptic number.

210245142300 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 210245142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318203133696).

210245142300 is an abundant number, since it is smaller than the sum of its proper divisors (426161125092).

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

210245142300 is a wasteful number, since it uses less digits than its factorization.

210245142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363788 (or 363781 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 210245142300 its reverse (3241542012), we get a palindrome (213486684312).

The spelling of 210245142300 in words is "two hundred ten billion, two hundred forty-five million, one hundred forty-two thousand, three hundred".