102440 has 32 divisors (see below), whose sum is σ = 249480. Its totient is φ = 37632.

The previous prime is 102437. The next prime is 102451. The reversal of 102440 is 44201.

102440 = 31² + 32² + ... + 69².

102440 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 91204 + 11236 = 302^2 + 106^2 .

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, 422 + ... + 618.

2¹⁰²⁴⁴⁰ is an apocalyptic number.

102440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124740).

102440 is an abundant number, since it is smaller than the sum of its proper divisors (147040).

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

102440 is a wasteful number, since it uses less digits than its factorization.

102440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 102440 is about 320.0624938977. The cubic root of 102440 is about 46.7903747220.

Multiplying 102440 by its product of nonzero digits (32), we get a triangular number (3278080 = T₂₅₆₀).

Adding to 102440 its reverse (44201), we get a palindrome (146641).

The spelling of 102440 in words is "one hundred two thousand, four hundred forty", and thus it is an iban number.