100957 has 2 divisors, whose sum is σ = 100958. Its totient is φ = 100956.

The previous prime is 100943. The next prime is 100981. The reversal of 100957 is 759001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95481 + 5476 = 309^2 + 74^2 .

It is an emirp because it is prime and its reverse (759001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100957 - 2⁷ = 100829 is a prime.

It is equal to p₉₆₇₀ and since 100957 and 9670 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50478 + 50479.

It is an arithmetic number, because the mean of its divisors is an integer number (50479).

2¹⁰⁰⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

100957 is a deficient number, since it is larger than the sum of its proper divisors (1).

100957 is an equidigital number, since it uses as much as digits as its factorization.

100957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 100957 is about 317.7373128860. The cubic root of 100957 is about 46.5634851825.

Adding to 100957 its reverse (759001), we get a palindrome (859958).

The spelling of 100957 in words is "one hundred thousand, nine hundred fifty-seven".