102132317 has 6 divisors (see below), whose sum is σ = 118807038. Its totient is φ = 87541944.

The previous prime is 102132313. The next prime is 102132337. The reversal of 102132317 is 713231201.

It can be written as a sum of positive squares in only one way, i.e., 80658361 + 21473956 = 8981^2 + 4634^2 .

It is not a de Polignac number, because 102132317 - 2² = 102132313 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1042118 + ... + 1042215.

It is an arithmetic number, because the mean of its divisors is an integer number (19801173).

Almost surely, 2^102132317 is an apocalyptic number.

It is an amenable number.

102132317 is a deficient number, since it is larger than the sum of its proper divisors (16674721).

102132317 is an equidigital number, since it uses as much as digits as its factorization.

102132317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084347 (or 2084340 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 102132317 is about 10106.0534829378. The cubic root of 102132317 is about 467.4348210007.

Adding to 102132317 its reverse (713231201), we get a palindrome (815363518).

The spelling of 102132317 in words is "one hundred two million, one hundred thirty-two thousand, three hundred seventeen".