105105105 has 24 divisors (see below), whose sum is σ = 208208832. Its totient is φ = 48047904.

The previous prime is 105105083. The next prime is 105105107. The reversal of 105105105 is 501501501.

It is not a de Polignac number, because 105105105 - 2¹⁷ = 104974033 is a prime.

It is a super-2 number, since 2×105105105² = 22094166194122050, which contains 22 as substring.

105105105 is a modest number, since divided by 105105 gives 105 as remainder.

It is not an unprimeable number, because it can be changed into a prime (105105107) 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 23 ways as a sum of consecutive naturals, for example, 166519 + ... + 167148.

It is an arithmetic number, because the mean of its divisors is an integer number (8675368).

Almost surely, 2^105105105 is an apocalyptic number.

105105105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105105105 is a deficient number, since it is larger than the sum of its proper divisors (103103727).

105105105 is a wasteful number, since it uses less digits than its factorization.

105105105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333685 (or 333682 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 105105105 is about 10252.0780820281. The cubic root of 105105105 is about 471.9267592596.

Adding to 105105105 its reverse (501501501), we get a palindrome (606606606).

The spelling of 105105105 in words is "one hundred five million, one hundred five thousand, one hundred five".