106637 has 2 divisors, whose sum is σ = 106638. Its totient is φ = 106636.

The previous prime is 106627. The next prime is 106649. The reversal of 106637 is 736601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106276 + 361 = 326^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 106637 - 2⁴ = 106621 is a prime.

It is a super-2 number, since 2×106637² = 22742899538, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53318 + 53319.

It is an arithmetic number, because the mean of its divisors is an integer number (53319).

2¹⁰⁶⁶³⁷ is an apocalyptic number.

It is an amenable number.

106637 is a deficient number, since it is larger than the sum of its proper divisors (1).

106637 is an equidigital number, since it uses as much as digits as its factorization.

106637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 106637 is about 326.5532115904. The cubic root of 106637 is about 47.4208469369.

The spelling of 106637 in words is "one hundred six thousand, six hundred thirty-seven".