102957 has 4 divisors (see below), whose sum is σ = 137280. Its totient is φ = 68636.

The previous prime is 102953. The next prime is 102967. The reversal of 102957 is 759201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 102957 - 2² = 102953 is a prime.

It is a D-number.

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 102957.

It is not an unprimeable number, because it can be changed into a prime (102953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17157 + ... + 17162.

It is an arithmetic number, because the mean of its divisors is an integer number (34320).

2¹⁰²⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

102957 is a deficient number, since it is larger than the sum of its proper divisors (34323).

102957 is an equidigital number, since it uses as much as digits as its factorization.

102957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34322.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 102957 is about 320.8691322019. The cubic root of 102957 is about 46.8689574433.

It can be divided in two parts, 1029 and 57, that multiplied together give a triangular number (58653 = T₃₄₂).

The spelling of 102957 in words is "one hundred two thousand, nine hundred fifty-seven".