105106005105 has 8 divisors (see below), whose sum is σ = 168169608192. Its totient is φ = 56056536048.

The previous prime is 105106005089. The next prime is 105106005149. The reversal of 105106005105 is 501500601501.

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

It is not a de Polignac number, because 105106005105 - 2⁴ = 105106005089 is a prime.

It is a super-2 number, since 2×105106005105² (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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3503533489 + ... + 3503533518.

It is an arithmetic number, because the mean of its divisors is an integer number (21021201024).

Almost surely, 2^105106005105 is an apocalyptic number.

105106005105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105106005105 is a deficient number, since it is larger than the sum of its proper divisors (63063603087).

105106005105 is an equidigital number, since it uses as much as digits as its factorization.

105106005105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007067015.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 105106005105 its reverse (501500601501), we get a palindrome (606606606606).

The spelling of 105106005105 in words is "one hundred five billion, one hundred six million, five thousand, one hundred five".