106566161616 has 60 divisors (see below), whose sum is σ = 303126404100. Its totient is φ = 34939722240.

The previous prime is 106566161551. The next prime is 106566161621. The reversal of 106566161616 is 616161665601.

106566161616 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 6 + 616 + 16 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26567696016 + 79998465600 = 162996^2 + 282840^2 .

It is a super-2 number, since 2×106566161616² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6057141 + ... + 6074708.

It is an arithmetic number, because the mean of its divisors is an integer number (5052106735).

Almost surely, 2^106566161616 is an apocalyptic number.

106566161616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106566161616 is an abundant number, since it is smaller than the sum of its proper divisors (196560242484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106566161616 is a wasteful number, since it uses less digits than its factorization.

106566161616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12131924 (or 12131915 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 106566161616 in words is "one hundred six billion, five hundred sixty-six million, one hundred sixty-one thousand, six hundred sixteen".