107848 has 32 divisors (see below), whose sum is σ = 234360. Its totient is φ = 46080.

The previous prime is 107843. The next prime is 107857. The reversal of 107848 is 848701.

It can be written as a sum of positive squares in 4 ways, for example, as 58564 + 49284 = 242^2 + 222^2 .

It is a super-2 number, since 2×107848² = 23262382208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107843) by changing a digit.

107848 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 1738 + ... + 1798.

2¹⁰⁷⁸⁴⁸ is an apocalyptic number.

107848 is the 208-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117180).

107848 is an abundant number, since it is smaller than the sum of its proper divisors (126512).

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

107848 is a wasteful number, since it uses less digits than its factorization.

107848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 107848 is about 328.4021924409. The cubic root of 107848 is about 47.5996798698.

The spelling of 107848 in words is "one hundred seven thousand, eight hundred forty-eight".