106605137 has 2 divisors, whose sum is σ = 106605138. Its totient is φ = 106605136.

The previous prime is 106605133. The next prime is 106605173. The reversal of 106605137 is 731506601.

Together with next prime (106605173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56535361 + 50069776 = 7519^2 + 7076^2 .

It is a cyclic number.

It is not a de Polignac number, because 106605137 - 2² = 106605133 is a prime.

It is a super-2 number, since 2×106605137² = 22729310469577538, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106605133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53302568 + 53302569.

It is an arithmetic number, because the mean of its divisors is an integer number (53302569).

Almost surely, 2^106605137 is an apocalyptic number.

It is an amenable number.

106605137 is a deficient number, since it is larger than the sum of its proper divisors (1).

106605137 is an equidigital number, since it uses as much as digits as its factorization.

106605137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 106605137 is about 10324.9763680117. The cubic root of 106605137 is about 474.1612337011.

The spelling of 106605137 in words is "one hundred six million, six hundred five thousand, one hundred thirty-seven".