100848 has 40 divisors (see below), whose sum is σ = 285696. Its totient is φ = 30400.

The previous prime is 100847. The next prime is 100853. The reversal of 100848 is 848001.

100848 is nontrivially palindromic in base 7.

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 100848.

It is not an unprimeable number, because it can be changed into a prime (100847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433 + ... + 623.

2¹⁰⁰⁸⁴⁸ 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 100848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848).

100848 is an abundant number, since it is smaller than the sum of its proper divisors (184848).

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

100848 is a wasteful number, since it uses less digits than its factorization.

100848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 100848 is about 317.5657412253. The cubic root of 100848 is about 46.5467214529.

Adding to 100848 its reverse (848001), we get a palindrome (948849).

It can be divided in two parts, 1008 and 48, that multiplied together give a palindrome (48384).

The spelling of 100848 in words is "one hundred thousand, eight hundred forty-eight".