101957 has 2 divisors, whose sum is σ = 101958. Its totient is φ = 101956.

The previous prime is 101939. The next prime is 101963. The reversal of 101957 is 759101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101761 + 196 = 319^2 + 14^2 .

It is a cyclic number.

It is not a de Polignac number, because 101957 - 2⁸ = 101701 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101957.

It is not a weakly prime, because it can be changed into another prime (101917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50978 + 50979.

It is an arithmetic number, because the mean of its divisors is an integer number (50979).

2¹⁰¹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

101957 is a deficient number, since it is larger than the sum of its proper divisors (1).

101957 is an equidigital number, since it uses as much as digits as its factorization.

101957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 23.

The square root of 101957 is about 319.3070622457. The cubic root of 101957 is about 46.7167206700.

The spelling of 101957 in words is "one hundred one thousand, nine hundred fifty-seven".