106112160166167 has 6 divisors (see below), whose sum is σ = 153273120240032. Its totient is φ = 70741440110772.

The previous prime is 106112160166157. The next prime is 106112160166183. The reversal of 106112160166167 is 761661061211601.

It is a happy number.

106112160166167 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 1 + 2 + 16 + 0 + 16 + 616 + 7 = 666.

It is not a de Polignac number, because 106112160166167 - 2⁷ = 106112160166039 is a prime.

It is a super-2 number, since 2×106112160166167² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106112160166127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5895120009223 + ... + 5895120009240.

Almost surely, 2^{106112160166167} is an apocalyptic number.

106112160166167 is a deficient number, since it is larger than the sum of its proper divisors (47160960073865).

106112160166167 is a wasteful number, since it uses less digits than its factorization.

106112160166167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11790240018469 (or 11790240018466 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 106112160166167 in words is "one hundred six trillion, one hundred twelve billion, one hundred sixty million, one hundred sixty-six thousand, one hundred sixty-seven".