102730 has 8 divisors (see below), whose sum is σ = 184932. Its totient is φ = 41088.

The previous prime is 102701. The next prime is 102761. The reversal of 102730 is 37201.

It can be written as a sum of positive squares in 2 ways, for example, as 97969 + 4761 = 313^2 + 69^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a self number, because there is not a number n which added to its sum of digits gives 102730.

It is an unprimeable number.

102730 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 3 ways as a sum of consecutive naturals, for example, 5127 + ... + 5146.

2¹⁰²⁷³⁰ is an apocalyptic number.

102730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102730 is a deficient number, since it is larger than the sum of its proper divisors (82202).

102730 is a wasteful number, since it uses less digits than its factorization.

102730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10280.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 102730 is about 320.5152102475. The cubic root of 102730 is about 46.8344864762.

Adding to 102730 its reverse (37201), we get a palindrome (139931).

The spelling of 102730 in words is "one hundred two thousand, seven hundred thirty".