106805068047 has 24 divisors (see below), whose sum is σ = 160275272976. Its totient is φ = 71075454912.

The previous prime is 106805067931. The next prime is 106805068061. The reversal of 106805068047 is 740860508601.

It is a happy number.

106805068047 is a `hidden beast` number, since 1 + 0 + 68 + 0 + 506 + 80 + 4 + 7 = 666.

It is not a de Polignac number, because 106805068047 - 2¹¹ = 106805065999 is a prime.

It is a super-2 number, since 2×106805068047² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106805067993 and 106805068011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106805068247) 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, 259198 + ... + 529899.

It is an arithmetic number, because the mean of its divisors is an integer number (6678136374).

Almost surely, 2^106805068047 is an apocalyptic number.

106805068047 is a deficient number, since it is larger than the sum of its proper divisors (53470204929).

106805068047 is an frugal number, since it uses more digits than its factorization.

106805068047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789669 (or 789657 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 106805068047 in words is "one hundred six billion, eight hundred five million, sixty-eight thousand, forty-seven".