102738 has 8 divisors (see below), whose sum is σ = 205488. Its totient is φ = 34244.

The previous prime is 102701. The next prime is 102761. The reversal of 102738 is 837201.

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

102738 is an admirable number.

It is an Ulam number.

It is a Curzon 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 102738.

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 3 ways as a sum of consecutive naturals, for example, 8556 + ... + 8567.

It is an arithmetic number, because the mean of its divisors is an integer number (25686).

2¹⁰²⁷³⁸ is an apocalyptic number.

102738 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

102738 is a wasteful number, since it uses less digits than its factorization.

102738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17128.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 102738 is about 320.5276899115. The cubic root of 102738 is about 46.8357021748.

Adding to 102738 its reverse (837201), we get a palindrome (939939).

The spelling of 102738 in words is "one hundred two thousand, seven hundred thirty-eight".