102540 has 24 divisors (see below), whose sum is σ = 287280. Its totient is φ = 27328.

The previous prime is 102539. The next prime is 102547. The reversal of 102540 is 45201.

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

It is an Ulam number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102540.

It is not an unprimeable number, because it can be changed into a prime (102547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 795 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2¹⁰²⁵⁴⁰ is an apocalyptic number.

102540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102540 is an abundant number, since it is smaller than the sum of its proper divisors (184740).

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

102540 is a wasteful number, since it uses less digits than its factorization.

102540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 102540 is about 320.2186752830. The cubic root of 102540 is about 46.8055950649.

Adding to 102540 its reverse (45201), we get a palindrome (147741).

The spelling of 102540 in words is "one hundred two thousand, five hundred forty".