105144516 has 27 divisors (see below), whose sum is σ = 265937581. Its totient is φ = 35027664.

The previous prime is 105144509. The next prime is 105144521. The reversal of 105144516 is 615441501.

The square root of 105144516 is 10254.

It is a perfect power (a square), and thus also a powerful number.

105144516 is a `hidden beast` number, since 1 + 0 + 5 + 144 + 516 = 666.

105144516 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 19766916 + 85377600 = 4446^2 + 9240^2 .

It is a super-2 number, since 2×105144516² = 22110738489748512, which contains 22 as substring.

It is a Duffinian number.

105144516 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 105144516.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60670 + ... + 62378.

Almost surely, 2^105144516 is an apocalyptic number.

105144516 is the 10254-th square number.

It is an amenable number.

105144516 is an abundant number, since it is smaller than the sum of its proper divisors (160793065).

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

105144516 is an equidigital number, since it uses as much as digits as its factorization.

105144516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The cubic root of 105144516 is about 471.9857376232.

The spelling of 105144516 in words is "one hundred five million, one hundred forty-four thousand, five hundred sixteen".