105505216 has 28 divisors (see below), whose sum is σ = 212918040. Its totient is φ = 51856640.

The previous prime is 105505189. The next prime is 105505229. The reversal of 105505216 is 612505501.

It is a super-2 number, since 2×105505216² = 22262701206413312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10195 + ... + 17746.

Almost surely, 2^105505216 is an apocalyptic number.

105505216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105505216 is an abundant number, since it is smaller than the sum of its proper divisors (107412824).

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

105505216 is an equidigital number, since it uses as much as digits as its factorization.

105505216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28012 (or 28002 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 105505216 is about 10271.5731998560. The cubic root of 105505216 is about 472.5248399173.

The spelling of 105505216 in words is "one hundred five million, five hundred five thousand, two hundred sixteen".