105225216 has 44 divisors (see below), whose sum is σ = 280471752. Its totient is φ = 35074048.

The previous prime is 105225209. The next prime is 105225233. The reversal of 105225216 is 612522501.

It is a happy number.

It is a super-2 number, since 2×105225216² = 22144692164493312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14055 + ... + 20198.

It is an arithmetic number, because the mean of its divisors is an integer number (6374358).

Almost surely, 2^105225216 is an apocalyptic number.

105225216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105225216 is an abundant number, since it is smaller than the sum of its proper divisors (175246536).

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

105225216 is an equidigital number, since it uses as much as digits as its factorization.

105225216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34276 (or 34258 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105225216 is about 10257.9342949738. The cubic root of 105225216 is about 472.1064587980.

Adding to 105225216 its reverse (612522501), we get a palindrome (717747717).

The spelling of 105225216 in words is "one hundred five million, two hundred twenty-five thousand, two hundred sixteen".