100048 has 30 divisors (see below), whose sum is σ = 215574. Its totient is φ = 44928.

The previous prime is 100043. The next prime is 100049. The reversal of 100048 is 840001.

100048 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 94864 = 72^2 + 308^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100043) 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 5 ways as a sum of consecutive naturals, for example, 2686 + ... + 2722.

2¹⁰⁰⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107787).

100048 is an abundant number, since it is smaller than the sum of its proper divisors (115526).

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

100048 is a wasteful number, since it uses less digits than its factorization.

100048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 100048 is about 316.3036515755. The cubic root of 100048 is about 46.4233136903.

Adding to 100048 its reverse (840001), we get a palindrome (940049).

The spelling of 100048 in words is "one hundred thousand, forty-eight".