102048 has 24 divisors (see below), whose sum is σ = 268128. Its totient is φ = 33984.

The previous prime is 102043. The next prime is 102059. The reversal of 102048 is 840201.

102048 is nontrivially palindromic in base 14.

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

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

102048 is an undulating number in base 14.

It is not an unprimeable number, because it can be changed into a prime (102043) by changing a digit.

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, 436 + ... + 627.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2¹⁰²⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

102048 is an abundant number, since it is smaller than the sum of its proper divisors (166080).

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

102048 is a wasteful number, since it uses less digits than its factorization.

102048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 102048 is about 319.4495265296. The cubic root of 102048 is about 46.7306152773.

Adding to 102048 its reverse (840201), we get a palindrome (942249).

The spelling of 102048 in words is "one hundred two thousand, forty-eight".