105015105 has 48 divisors (see below), whose sum is σ = 198329040. Its totient is φ = 51093504.

The previous prime is 105015091. The next prime is 105015107. The reversal of 105015105 is 501510501.

It can be written as a sum of positive squares in 8 ways, for example, as 5992704 + 99022401 = 2448^2 + 9951^2 .

It is not a de Polignac number, because 105015105 - 2⁶ = 105015041 is a prime.

It is a super-2 number, since 2×105015105² = 22056344556322050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105015107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51057 + ... + 53073.

It is an arithmetic number, because the mean of its divisors is an integer number (4131855).

Almost surely, 2^105015105 is an apocalyptic number.

105015105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105015105 is a deficient number, since it is larger than the sum of its proper divisors (93313935).

105015105 is a wasteful number, since it uses less digits than its factorization.

105015105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2127 counting only the distinct ones).

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

The square root of 105015105 is about 10247.6877879842. The cubic root of 105015105 is about 471.7920194128.

Adding to 105015105 its reverse (501510501), we get a palindrome (606525606).

The spelling of 105015105 in words is "one hundred five million, fifteen thousand, one hundred five".