105082848 has 216 divisors, whose sum is σ = 345316608. Its totient is φ = 30191616.

The previous prime is 105082819. The next prime is 105082889. The reversal of 105082848 is 848280501.

It is a super-2 number, since 2×105082848² = 22084809887582208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 827361 + ... + 827487.

It is an arithmetic number, because the mean of its divisors is an integer number (1598688).

Almost surely, 2^105082848 is an apocalyptic number.

105082848 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 105082848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172658304).

105082848 is an abundant number, since it is smaller than the sum of its proper divisors (240233760).

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

105082848 is a wasteful number, since it uses less digits than its factorization.

105082848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 105082848 is about 10250.9925373107. The cubic root of 105082848 is about 471.8934452565.

The spelling of 105082848 in words is "one hundred five million, eighty-two thousand, eight hundred forty-eight".