105105868 has 12 divisors (see below), whose sum is σ = 210211792. Its totient is φ = 45045360.

The previous prime is 105105859. The next prime is 105105877. The reversal of 105105868 is 868501501.

It is an interprime number because it is at equal distance from previous prime (105105859) and next prime (105105877).

105105868 is an admirable number.

It is a super-2 number, since 2×105105868² = 22094486976066848, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 1876863 + ... + 1876918.

Almost surely, 2^105105868 is an apocalyptic number.

It is an amenable number.

105105868 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105105868 is a wasteful number, since it uses less digits than its factorization.

105105868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753792 (or 3753790 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 34.

The square root of 105105868 is about 10252.1152939284. The cubic root of 105105868 is about 471.9279012252.

The spelling of 105105868 in words is "one hundred five million, one hundred five thousand, eight hundred sixty-eight".