106105560105105 has 96 divisors (see below), whose sum is σ = 205366149660672. Its totient is φ = 50233001616000.

The previous prime is 106105560105101. The next prime is 106105560105137. The reversal of 106105560105105 is 501501065501601.

It is a happy number.

106105560105105 is a `hidden beast` number, since 10 + 6 + 10 + 55 + 60 + 10 + 510 + 5 = 666.

It is not a de Polignac number, because 106105560105105 - 2² = 106105560105101 is a prime.

It is a super-2 number, since 2×106105560105105² (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 106105560105105.

It is not an unprimeable number, because it can be changed into a prime (106105560105101) 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 95 ways as a sum of consecutive naturals, for example, 67397680 + ... + 68954030.

It is an arithmetic number, because the mean of its divisors is an integer number (2139230725632).

Almost surely, 2^{106105560105105} is an apocalyptic number.

106105560105105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106105560105105 is a deficient number, since it is larger than the sum of its proper divisors (99260589555567).

106105560105105 is a wasteful number, since it uses less digits than its factorization.

106105560105105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559619 (or 1559616 counting only the distinct ones).

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

The spelling of 106105560105105 in words is "one hundred six trillion, one hundred five billion, five hundred sixty million, one hundred five thousand, one hundred five".