105042152105 has 32 divisors (see below), whose sum is σ = 141329111040. Its totient is φ = 74301289920.

The previous prime is 105042152063. The next prime is 105042152113. The reversal of 105042152105 is 501251240501.

It is not a de Polignac number, because 105042152105 - 2²⁶ = 104975043241 is a prime.

It is a super-2 number, since 2×105042152105² (a number of 23 digits) 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 31 ways as a sum of consecutive naturals, for example, 110702 + ... + 471528.

It is an arithmetic number, because the mean of its divisors is an integer number (4416534720).

Almost surely, 2^105042152105 is an apocalyptic number.

It is an amenable number.

105042152105 is a deficient number, since it is larger than the sum of its proper divisors (36286958935).

105042152105 is a wasteful number, since it uses less digits than its factorization.

105042152105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360989.

The product of its (nonzero) digits is 2000, while the sum is 26.

Adding to 105042152105 its reverse (501251240501), we get a palindrome (606293392606).

The spelling of 105042152105 in words is "one hundred five billion, forty-two million, one hundred fifty-two thousand, one hundred five".