106105105605105 has 16 divisors (see below), whose sum is σ = 188631298853760. Its totient is φ = 56589389655984.

The previous prime is 106105105605067. The next prime is 106105105605113. The reversal of 106105105605105 is 501506501501601.

It is a happy number.

106105105605105 is a `hidden beast` number, since 10 + 6 + 10 + 5 + 10 + 5 + 605 + 10 + 5 = 666.

It is not a de Polignac number, because 106105105605105 - 2¹⁴ = 106105105588721 is a prime.

It is a super-2 number, since 2×106105105605105² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106105105605105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392981872477 + ... + 392981872746.

It is an arithmetic number, because the mean of its divisors is an integer number (11789456178360).

Almost surely, 2^{106105105605105} is an apocalyptic number.

106105105605105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106105105605105 is a deficient number, since it is larger than the sum of its proper divisors (82526193248655).

106105105605105 is an equidigital number, since it uses as much as digits as its factorization.

106105105605105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785963745237 (or 785963745231 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 106105105605105 in words is "one hundred six trillion, one hundred five billion, one hundred five million, six hundred five thousand, one hundred five".