105210105 has 144 divisors (see below), whose sum is σ = 233654400. Its totient is φ = 40360320.

The previous prime is 105210103. The next prime is 105210137. The reversal of 105210105 is 501012501.

It is not a de Polignac number, because 105210105 - 2¹ = 105210103 is a prime.

It is a super-2 number, since 2×105210105² = 22138332388222050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105210101) 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 143 ways as a sum of consecutive naturals, for example, 8093079 + ... + 8093091.

It is an arithmetic number, because the mean of its divisors is an integer number (1622600).

Almost surely, 2^105210105 is an apocalyptic number.

105210105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105210105 is an abundant number, since it is smaller than the sum of its proper divisors (128444295).

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

105210105 is a wasteful number, since it uses less digits than its factorization.

105210105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 105210105 is about 10257.1977167256. The cubic root of 105210105 is about 472.0838585681.

Adding to 105210105 its reverse (501012501), we get a palindrome (606222606).

The spelling of 105210105 in words is "one hundred five million, two hundred ten thousand, one hundred five".