105165216 has 120 divisors (see below), whose sum is σ = 333186084. Its totient is φ = 32348160.

The previous prime is 105165191. The next prime is 105165227. The reversal of 105165216 is 612561501.

It is a happy number.

105165216 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 652 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74028816 + 31136400 = 8604^2 + 5580^2 .

It is a super-2 number, since 2×105165216² = 22119445312653312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 105165216.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32136 + ... + 35256.

Almost surely, 2^105165216 is an apocalyptic number.

105165216 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 105165216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166593042).

105165216 is an abundant number, since it is smaller than the sum of its proper divisors (228020868).

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

105165216 is a wasteful number, since it uses less digits than its factorization.

105165216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 105165216 is about 10255.0093125262. The cubic root of 105165216 is about 472.0167091662.

The spelling of 105165216 in words is "one hundred five million, one hundred sixty-five thousand, two hundred sixteen".