106848 has 72 divisors (see below), whose sum is σ = 353808. Its totient is φ = 29952.

The previous prime is 106823. The next prime is 106853. The reversal of 106848 is 848601.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106848² = 22832990208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

106848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1990 + ... + 2042.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

2¹⁰⁶⁸⁴⁸ is an apocalyptic number.

106848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904).

106848 is an abundant number, since it is smaller than the sum of its proper divisors (246960).

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

106848 is a wasteful number, since it uses less digits than its factorization.

106848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 106848 is about 326.8761233250. The cubic root of 106848 is about 47.4521031504.

The spelling of 106848 in words is "one hundred six thousand, eight hundred forty-eight".