106848000000 has 1008 divisors, whose sum is σ = 449164563120. Its totient is φ = 23961600000.

The previous prime is 106847999953. The next prime is 106848000043. The reversal of 106848000000 is 848601.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×106848000000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2015999974 + ... + 2016000026.

It is an arithmetic number, because the mean of its divisors is an integer number (445599765).

Almost surely, 2^106848000000 is an apocalyptic number.

106848000000 is a gapful number since it is divisible by the number (10) 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 106848000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224582281560).

106848000000 is an abundant number, since it is smaller than the sum of its proper divisors (342316563120).

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

106848000000 is an frugal number, since it uses more digits than its factorization.

106848000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 70 counting only the distinct ones).

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

Adding to 106848000000 its reverse (848601), we get a palindrome (106848848601).

The spelling of 106848000000 in words is "one hundred six billion, eight hundred forty-eight million", and thus it is an aban number.