210532103505152 has 432 divisors, whose sum is σ = 528007542809040. Its totient is φ = 82934586408960.

The previous prime is 210532103505151. The next prime is 210532103505181. The reversal of 210532103505152 is 251505301235012.

It is a happy number.

210532103505152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4584805958656 + 205947297546496 = 2141216^2 + 14350864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210532103505151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2799852068 + ... + 2799927260.

Almost surely, 2^{210532103505152} is an apocalyptic number.

210532103505152 is a gapful number since it is divisible by the number (22) 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 210532103505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264003771404520).

210532103505152 is an abundant number, since it is smaller than the sum of its proper divisors (317475439303888).

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

210532103505152 is a wasteful number, since it uses less digits than its factorization.

210532103505152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75670 (or 75645 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The spelling of 210532103505152 in words is "two hundred ten trillion, five hundred thirty-two billion, one hundred three million, five hundred five thousand, one hundred fifty-two".