106688161 has 2 divisors, whose sum is σ = 106688162. Its totient is φ = 106688160.

The previous prime is 106688119. The next prime is 106688189. The reversal of 106688161 is 161886601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106502400 + 185761 = 10320^2 + 431^2 .

It is an emirp because it is prime and its reverse (161886601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106688161 - 2⁷ = 106688033 is a prime.

It is a super-2 number, since 2×106688161² = 22764727395123842, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 106688161.

It is not a weakly prime, because it can be changed into another prime (106688111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53344080 + 53344081.

It is an arithmetic number, because the mean of its divisors is an integer number (53344081).

Almost surely, 2^106688161 is an apocalyptic number.

It is an amenable number.

106688161 is a deficient number, since it is larger than the sum of its proper divisors (1).

106688161 is an equidigital number, since it uses as much as digits as its factorization.

106688161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 106688161 is about 10328.9961274075. The cubic root of 106688161 is about 474.2842938968.

The spelling of 106688161 in words is "one hundred six million, six hundred eighty-eight thousand, one hundred sixty-one".