105466516 has 24 divisors (see below), whose sum is σ = 187009704. Its totient is φ = 52039680.

The previous prime is 105466507. The next prime is 105466519. The reversal of 105466516 is 615664501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3254416 + 102212100 = 1804^2 + 10110^2 .

It is a super-2 number, since 2×105466516² = 22246371994356512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105466519) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 159226 + ... + 159886.

It is an arithmetic number, because the mean of its divisors is an integer number (7792071).

Almost surely, 2^105466516 is an apocalyptic number.

It is an amenable number.

105466516 is a deficient number, since it is larger than the sum of its proper divisors (81543188).

105466516 is a wasteful number, since it uses less digits than its factorization.

105466516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 105466516 is about 10269.6891871176. The cubic root of 105466516 is about 472.4670577894.

The spelling of 105466516 in words is "one hundred five million, four hundred sixty-six thousand, five hundred sixteen".