106957 has 2 divisors, whose sum is σ = 106958. Its totient is φ = 106956.

The previous prime is 106949. The next prime is 106961. The reversal of 106957 is 759601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72361 + 34596 = 269^2 + 186^2 .

It is a cyclic number.

It is not a de Polignac number, because 106957 - 2³ = 106949 is a prime.

It is a super-2 number, since 2×106957² = 22879599698, which contains 22 as substring.

106957 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53478 + 53479.

It is an arithmetic number, because the mean of its divisors is an integer number (53479).

2¹⁰⁶⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

106957 is a deficient number, since it is larger than the sum of its proper divisors (1).

106957 is an equidigital number, since it uses as much as digits as its factorization.

106957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 106957 is about 327.0428106533. The cubic root of 106957 is about 47.4682336081.

Subtracting from 106957 its sum of digits (28), we obtain a square (106929 = 327²).

The spelling of 106957 in words is "one hundred six thousand, nine hundred fifty-seven".