102744 has 24 divisors (see below), whose sum is σ = 278460. Its totient is φ = 34224.

The previous prime is 102701. The next prime is 102761. The reversal of 102744 is 447201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a d-powerful number, because it can be written as 1 + 0 + 7³ + 2¹⁵ + 4⁶ + 4⁸ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102744.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 642 + ... + 785.

2¹⁰²⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

102744 is an abundant number, since it is smaller than the sum of its proper divisors (175716).

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

102744 is a wasteful number, since it uses less digits than its factorization.

102744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 102744 is about 320.5370493406. The cubic root of 102744 is about 46.8366139074.

Adding to 102744 its reverse (447201), we get a palindrome (549945).

The spelling of 102744 in words is "one hundred two thousand, seven hundred forty-four", and thus it is an iban number.