105827040 has 384 divisors, whose sum is σ = 431101440. Its totient is φ = 23961600.

The previous prime is 105827039. The next prime is 105827047. The reversal of 105827040 is 40728501.

105827040 is a `hidden beast` number, since 10 + 582 + 70 + 4 + 0 = 666.

It is a super-2 number, since 2×105827040² = 22398724790323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105826995 and 105827013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105827047) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 807775 + ... + 807905.

It is an arithmetic number, because the mean of its divisors is an integer number (1122660).

Almost surely, 2^105827040 is an apocalyptic number.

105827040 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 105827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215550720).

105827040 is an abundant number, since it is smaller than the sum of its proper divisors (325274400).

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

105827040 is a wasteful number, since it uses less digits than its factorization.

105827040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 105827040 is about 10287.2270316155. The cubic root of 105827040 is about 473.0048018917.

The spelling of 105827040 in words is "one hundred five million, eight hundred twenty-seven thousand, forty".