105216 has 36 divisors (see below), whose sum is σ = 282072. Its totient is φ = 34816.

The previous prime is 105211. The next prime is 105227. The reversal of 105216 is 612501.

105216 = T₉₉ + T₁₀₀ + ... + T₁₁₆.

105216 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×105216² = 22140813312, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105195 and 105204.

It is not an unprimeable number, because it can be changed into a prime (105211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 700 + ... + 836.

2¹⁰⁵²¹⁶ is an apocalyptic number.

105216 is a gapful number since it is divisible by the number (16) 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 105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141036).

105216 is an abundant number, since it is smaller than the sum of its proper divisors (176856).

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

105216 is an equidigital number, since it uses as much as digits as its factorization.

105216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 105216 is about 324.3701589234. The cubic root of 105216 is about 47.2092675473.

Adding to 105216 its reverse (612501), we get a palindrome (717717).

The spelling of 105216 in words is "one hundred five thousand, two hundred sixteen".