106071656110605 has 24 divisors (see below), whose sum is σ = 183857780920320. Its totient is φ = 56571474952800.

The previous prime is 106071656110601. The next prime is 106071656110613. The reversal of 106071656110605 is 506011656170601.

106071656110605 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 7 + 16 + 561 + 10 + 60 + 5 = 666.

It is not a de Polignac number, because 106071656110605 - 2² = 106071656110601 is a prime.

It is a super-2 number, since 2×106071656110605² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106071656110601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56437780 + ... + 58286930.

It is an arithmetic number, because the mean of its divisors is an integer number (7660740871680).

Almost surely, 2^{106071656110605} is an apocalyptic number.

106071656110605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106071656110605 is a deficient number, since it is larger than the sum of its proper divisors (77786124809715).

106071656110605 is a wasteful number, since it uses less digits than its factorization.

106071656110605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123881 (or 3123878 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 106071656110605 in words is "one hundred six trillion, seventy-one billion, six hundred fifty-six million, one hundred ten thousand, six hundred five".