105816876 has 48 divisors (see below), whose sum is σ = 269955840. Its totient is φ = 31993920.

The previous prime is 105816863. The next prime is 105816877. The reversal of 105816876 is 678618501.

It is a super-2 number, since 2×105816876² = 22394422492798752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105816877) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 108945 + ... + 109911.

It is an arithmetic number, because the mean of its divisors is an integer number (5624080).

Almost surely, 2^105816876 is an apocalyptic number.

It is an amenable number.

105816876 is an abundant number, since it is smaller than the sum of its proper divisors (164138964).

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

105816876 is a wasteful number, since it uses less digits than its factorization.

105816876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 105816876 is about 10286.7330090753. The cubic root of 105816876 is about 472.9896583936.

The spelling of 105816876 in words is "one hundred five million, eight hundred sixteen thousand, eight hundred seventy-six".