102720 has 56 divisors (see below), whose sum is σ = 329184. Its totient is φ = 27136.

The previous prime is 102701. The next prime is 102761. The reversal of 102720 is 27201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102696 and 102705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 907 + ... + 1013.

2¹⁰²⁷²⁰ is an apocalyptic number.

102720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 320×321.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164592).

102720 is an abundant number, since it is smaller than the sum of its proper divisors (226464).

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

102720 is a wasteful number, since it uses less digits than its factorization.

102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 102720 is about 320.4996099842. The cubic root of 102720 is about 46.8329667641.

Adding to 102720 its reverse (27201), we get a palindrome (129921).

The spelling of 102720 in words is "one hundred two thousand, seven hundred twenty", and thus it is an iban number.