106072165707112 has 32 divisors (see below), whose sum is σ = 217271810253600. Its totient is φ = 48146617051200.

The previous prime is 106072165707059. The next prime is 106072165707121. The reversal of 106072165707112 is 211707561270601.

It is a super-2 number, since 2×106072165707112² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 849983814 + ... + 850108597.

It is an arithmetic number, because the mean of its divisors is an integer number (6789744070425).

Almost surely, 2^{106072165707112} is an apocalyptic number.

It is an amenable number.

106072165707112 is an abundant number, since it is smaller than the sum of its proper divisors (111199644546488).

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

106072165707112 is a wasteful number, since it uses less digits than its factorization.

106072165707112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700093137 (or 1700093133 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 46.

The spelling of 106072165707112 in words is "one hundred six trillion, seventy-two billion, one hundred sixty-five million, seven hundred seven thousand, one hundred twelve".