105216180 has 24 divisors (see below), whose sum is σ = 294605472. Its totient is φ = 28057632.

The previous prime is 105216173. The next prime is 105216193. The reversal of 105216180 is 81612501.

It is a super-2 number, since 2×105216180² = 22140889067584800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105216180.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 876742 + ... + 876861.

It is an arithmetic number, because the mean of its divisors is an integer number (12275228).

Almost surely, 2^105216180 is an apocalyptic number.

105216180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105216180 is an abundant number, since it is smaller than the sum of its proper divisors (189389292).

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

105216180 is a wasteful number, since it uses less digits than its factorization.

105216180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753615 (or 1753613 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 105216180 is about 10257.4938459645. The cubic root of 105216180 is about 472.0929446860.

Adding to 105216180 its reverse (81612501), we get a palindrome (186828681).

The spelling of 105216180 in words is "one hundred five million, two hundred sixteen thousand, one hundred eighty".