106365137 has 2 divisors, whose sum is σ = 106365138. Its totient is φ = 106365136.

The previous prime is 106365131. The next prime is 106365227. The reversal of 106365137 is 731563601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106172416 + 192721 = 10304^2 + 439^2 .

It is a cyclic number.

It is not a de Polignac number, because 106365137 - 2¹⁰ = 106364113 is a prime.

It is a super-2 number, since 2×106365137² = 22627084738057538, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106365131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53182568 + 53182569.

It is an arithmetic number, because the mean of its divisors is an integer number (53182569).

Almost surely, 2^106365137 is an apocalyptic number.

It is an amenable number.

106365137 is a deficient number, since it is larger than the sum of its proper divisors (1).

106365137 is an equidigital number, since it uses as much as digits as its factorization.

106365137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 106365137 is about 10313.3475166892. The cubic root of 106365137 is about 473.8051401627.

The spelling of 106365137 in words is "one hundred six million, three hundred sixty-five thousand, one hundred thirty-seven".