105210516 has 12 divisors (see below), whose sum is σ = 245491232. Its totient is φ = 35070168.

The previous prime is 105210509. The next prime is 105210517. The reversal of 105210516 is 615012501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105210516² = 22138505353972512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105210492 and 105210501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105210517) 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 3 ways as a sum of consecutive naturals, for example, 4383760 + ... + 4383783.

Almost surely, 2^105210516 is an apocalyptic number.

It is an amenable number.

105210516 is an abundant number, since it is smaller than the sum of its proper divisors (140280716).

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

105210516 is a wasteful number, since it uses less digits than its factorization.

105210516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8767550 (or 8767548 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 105210516 is about 10257.2177514178. The cubic root of 105210516 is about 472.0844732943.

The spelling of 105210516 in words is "one hundred five million, two hundred ten thousand, five hundred sixteen".