106848000 has 432 divisors, whose sum is σ = 447685056. Its totient is φ = 23961600.

The previous prime is 106847999. The next prime is 106848011. The reversal of 106848000 is 848601.

It is a super-2 number, since 2×106848000² = 22832990208000000, which 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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2015974 + ... + 2016026.

It is an arithmetic number, because the mean of its divisors is an integer number (1036308).

Almost surely, 2^106848000 is an apocalyptic number.

106848000 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 106848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223842528).

106848000 is an abundant number, since it is smaller than the sum of its proper divisors (340837056).

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

106848000 is an equidigital number, since it uses as much as digits as its factorization.

106848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

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

The square root of 106848000 is about 10336.7306243319. The cubic root of 106848000 is about 474.5210315043.

The spelling of 106848000 in words is "one hundred six million, eight hundred forty-eight thousand".