102361 has 6 divisors (see below), whose sum is σ = 119130. Its totient is φ = 87696.

The previous prime is 102359. The next prime is 102367. The reversal of 102361 is 163201.

102361 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 99225 + 3136 = 315^2 + 56^2 .

It is not a de Polignac number, because 102361 - 2¹ = 102359 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (102367) 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 5 ways as a sum of consecutive naturals, for example, 996 + ... + 1093.

It is an arithmetic number, because the mean of its divisors is an integer number (19855).

2¹⁰²³⁶¹ is an apocalyptic number.

It is an amenable number.

102361 is a deficient number, since it is larger than the sum of its proper divisors (16769).

102361 is an equidigital number, since it uses as much as digits as its factorization.

102361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 102361 is about 319.9390566967. The cubic root of 102361 is about 46.7783436462.

Adding to 102361 its reverse (163201), we get a palindrome (265562).

The spelling of 102361 in words is "one hundred two thousand, three hundred sixty-one".