105202216 has 40 divisors (see below), whose sum is σ = 230158170. Its totient is φ = 45078432.

The previous prime is 105202193. The next prime is 105202219. The reversal of 105202216 is 612202501.

It can be written as a sum of positive squares in only one way, i.e., 54022500 + 51179716 = 7350^2 + 7154^2 .

It is a super-2 number, since 2×105202216² = 22135012502621312, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 105202193 and 105202202.

It is not an unprimeable number, because it can be changed into a prime (105202219) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16470 + ... + 21946.

Almost surely, 2^105202216 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 105202216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115079085).

105202216 is an abundant number, since it is smaller than the sum of its proper divisors (124955954).

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

105202216 is an frugal number, since it uses more digits than its factorization.

105202216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5511 (or 5486 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 105202216 is about 10256.8131502919. The cubic root of 105202216 is about 472.0720588060.

Adding to 105202216 its reverse (612202501), we get a palindrome (717404717).

The spelling of 105202216 in words is "one hundred five million, two hundred two thousand, two hundred sixteen".