102177 has 6 divisors (see below), whose sum is σ = 147602. Its totient is φ = 68112.

The previous prime is 102161. The next prime is 102181. The reversal of 102177 is 771201.

It can be written as a sum of positive squares in only one way, i.e., 77841 + 24336 = 279^2 + 156^2 .

It is not a de Polignac number, because 102177 - 2⁴ = 102161 is a prime.

It is a Duffinian number.

102177 is a lucky 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 5 ways as a sum of consecutive naturals, for example, 5668 + ... + 5685.

2¹⁰²¹⁷⁷ is an apocalyptic number.

It is an amenable number.

102177 is a deficient number, since it is larger than the sum of its proper divisors (45425).

102177 is a wasteful number, since it uses less digits than its factorization.

102177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11359 (or 11356 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 102177 is about 319.6513725921. The cubic root of 102177 is about 46.7502978810.

Adding to 102177 its reverse (771201), we get a palindrome (873378).

It can be divided in two parts, 10 and 2177, that added together give a 7-th power (2187 = 3⁷).

The spelling of 102177 in words is "one hundred two thousand, one hundred seventy-seven", and thus it is an iban number.