210105216 has 96 divisors (see below), whose sum is σ = 607732320. Its totient is φ = 69672960.

The previous prime is 210105209. The next prime is 210105221. The reversal of 210105216 is 612501012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311856 + ... + 312528.

It is an arithmetic number, because the mean of its divisors is an integer number (6330545).

Almost surely, 2^210105216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303866160).

210105216 is an abundant number, since it is smaller than the sum of its proper divisors (397627104).

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

210105216 is a wasteful number, since it uses less digits than its factorization.

210105216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 210105216 is about 14495.0065884773. The cubic root of 210105216 is about 594.4914478595.

Adding to 210105216 its reverse (612501012), we get a palindrome (822606228).

The spelling of 210105216 in words is "two hundred ten million, one hundred five thousand, two hundred sixteen".