105885107 has 8 divisors (see below), whose sum is σ = 107712000. Its totient is φ = 104073984.

The previous prime is 105885089. The next prime is 105885121. The reversal of 105885107 is 701588501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105885107 - 2⁸ = 105884851 is a prime.

It is a super-2 number, since 2×105885107² = 22423311768802898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105885127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10019 + ... + 17667.

It is an arithmetic number, because the mean of its divisors is an integer number (13464000).

Almost surely, 2^105885107 is an apocalyptic number.

105885107 is a deficient number, since it is larger than the sum of its proper divisors (1826893).

105885107 is a wasteful number, since it uses less digits than its factorization.

105885107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7885.

The product of its (nonzero) digits is 11200, while the sum is 35.

The square root of 105885107 is about 10290.0489308846. The cubic root of 105885107 is about 473.0912982095.

The spelling of 105885107 in words is "one hundred five million, eight hundred eighty-five thousand, one hundred seven".