102157 has 8 divisors (see below), whose sum is σ = 114912. Its totient is φ = 90000.

The previous prime is 102149. The next prime is 102161. The reversal of 102157 is 751201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102157 - 2³ = 102149 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282 + ... + 532.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2¹⁰²¹⁵⁷ is an apocalyptic number.

It is an amenable number.

102157 is a deficient number, since it is larger than the sum of its proper divisors (12755).

102157 is a wasteful number, since it uses less digits than its factorization.

102157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299.

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 102157 is about 319.6200869783. The cubic root of 102157 is about 46.7472474001.

Adding to 102157 its reverse (751201), we get a palindrome (853358).

The spelling of 102157 in words is "one hundred two thousand, one hundred fifty-seven".