106111106055605 has 32 divisors (see below), whose sum is σ = 148875408864000. Its totient is φ = 72574852249536.

The previous prime is 106111106055601. The next prime is 106111106055629. The reversal of 106111106055605 is 506550601111601.

It is a happy number.

It is not a de Polignac number, because 106111106055605 - 2² = 106111106055601 is a prime.

It is a super-2 number, since 2×106111106055605² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106111106055601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78860327 + ... + 80194596.

It is an arithmetic number, because the mean of its divisors is an integer number (4652356527000).

Almost surely, 2^{106111106055605} is an apocalyptic number.

It is an amenable number.

106111106055605 is a deficient number, since it is larger than the sum of its proper divisors (42764302808395).

106111106055605 is an equidigital number, since it uses as much as digits as its factorization.

106111106055605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159055338 (or 159055324 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 38.

The spelling of 106111106055605 in words is "one hundred six trillion, one hundred eleven billion, one hundred six million, fifty-five thousand, six hundred five".