201105216 has 168 divisors, whose sum is σ = 629070624. Its totient is φ = 61056000.

The previous prime is 201105211. The next prime is 201105239. The reversal of 201105216 is 612501102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201105211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 801091 + ... + 801341.

It is an arithmetic number, because the mean of its divisors is an integer number (3744468).

Almost surely, 2^201105216 is an apocalyptic number.

201105216 is a gapful number since it is divisible by the number (26) 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 201105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314535312).

201105216 is an abundant number, since it is smaller than the sum of its proper divisors (427965408).

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

201105216 is a wasteful number, since it uses less digits than its factorization.

201105216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 376 counting only the distinct ones).

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

The square root of 201105216 is about 14181.1570754999. The cubic root of 201105216 is about 585.8787931667.

Adding to 201105216 its reverse (612501102), we get a palindrome (813606318).

The spelling of 201105216 in words is "two hundred one million, one hundred five thousand, two hundred sixteen".