105643116 has 90 divisors (see below), whose sum is σ = 292943420. Its totient is φ = 33106320.

The previous prime is 105643067. The next prime is 105643141. The reversal of 105643116 is 611346501.

105643116 is a `hidden beast` number, since 1 + 0 + 5 + 643 + 1 + 16 = 666.

It is a super-3 number, since 3×105643116³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105643116.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 806371 + ... + 806501.

Almost surely, 2^105643116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105643116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146471710).

105643116 is an abundant number, since it is smaller than the sum of its proper divisors (187300304).

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

105643116 is a wasteful number, since it uses less digits than its factorization.

105643116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105643116 is about 10278.2837088689. The cubic root of 105643116 is about 472.7306206012.

Adding to 105643116 its reverse (611346501), we get a palindrome (716989617).

The spelling of 105643116 in words is "one hundred five million, six hundred forty-three thousand, one hundred sixteen".