102357 has 16 divisors (see below), whose sum is σ = 161280. Its totient is φ = 63936.

The previous prime is 102337. The next prime is 102359. The reversal of 102357 is 753201.

It is not a de Polignac number, because 102357 - 2⁶ = 102293 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

102357 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348 + ... + 570.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹⁰²³⁵⁷ is an apocalyptic number.

102357 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

102357 is a deficient number, since it is larger than the sum of its proper divisors (58923).

102357 is a wasteful number, since it uses less digits than its factorization.

102357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 102357 is about 319.9328054451. The cubic root of 102357 is about 46.7777343132. Note that the first 4 decimals are identical.

Adding to 102357 its reverse (753201), we get a palindrome (855558).

It can be divided in two parts, 1023 and 57, that multiplied together give a triangular number (58311 = T₃₄₁).

The spelling of 102357 in words is "one hundred two thousand, three hundred fifty-seven".