106657 has 2 divisors, whose sum is σ = 106658. Its totient is φ = 106656.

The previous prime is 106649. The next prime is 106661. The reversal of 106657 is 756601.

106657 is nontrivially palindromic in base 16.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 1681 = 324^2 + 41^2 .

It is an emirp because it is prime and its reverse (756601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106657 - 2³ = 106649 is a prime.

It is a super-2 number, since 2×106657² = 22751431298, which contains 22 as substring.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53328 + 53329.

It is an arithmetic number, because the mean of its divisors is an integer number (53329).

2¹⁰⁶⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

106657 is a deficient number, since it is larger than the sum of its proper divisors (1).

106657 is an equidigital number, since it uses as much as digits as its factorization.

106657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 106657 is about 326.5838330353. The cubic root of 106657 is about 47.4238113790.

The spelling of 106657 in words is "one hundred six thousand, six hundred fifty-seven".