106842137 has 2 divisors, whose sum is σ = 106842138. Its totient is φ = 106842136.

The previous prime is 106842121. The next prime is 106842163. The reversal of 106842137 is 731248601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62473216 + 44368921 = 7904^2 + 6661^2 .

It is a cyclic number.

It is not a de Polignac number, because 106842137 - 2⁴ = 106842121 is a prime.

It is a super-2 number, since 2×106842137² = 22830484477453538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106832137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53421068 + 53421069.

It is an arithmetic number, because the mean of its divisors is an integer number (53421069).

Almost surely, 2^106842137 is an apocalyptic number.

It is an amenable number.

106842137 is a deficient number, since it is larger than the sum of its proper divisors (1).

106842137 is an equidigital number, since it uses as much as digits as its factorization.

106842137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 106842137 is about 10336.4470201322. The cubic root of 106842137 is about 474.5123519854.

It can be divided in two parts, 10684 and 2137, that added together give a palindrome (12821).

The spelling of 106842137 in words is "one hundred six million, eight hundred forty-two thousand, one hundred thirty-seven".