102726 has 24 divisors (see below), whose sum is σ = 240240. Its totient is φ = 31536.

The previous prime is 102701. The next prime is 102761. The reversal of 102726 is 627201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102699 and 102708.

It is a congruent number.

It is an unprimeable number.

102726 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15 + ... + 453.

It is an arithmetic number, because the mean of its divisors is an integer number (10010).

2¹⁰²⁷²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120120).

102726 is an abundant number, since it is smaller than the sum of its proper divisors (137514).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102726 is a wasteful number, since it uses less digits than its factorization.

102726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 102726 is about 320.5089702333. The cubic root of 102726 is about 46.8338786032.

Adding to 102726 its reverse (627201), we get a palindrome (729927).

It can be divided in two parts, 102 and 726, that added together give a palindrome (828).

The spelling of 102726 in words is "one hundred two thousand, seven hundred twenty-six".