105805440000 has 1100 divisors, whose sum is σ = 427897125964. Its totient is φ = 25878528000.

The previous prime is 105805439977. The next prime is 105805440007. The reversal of 105805440000 is 44508501.

It can be written as a sum of positive squares in 10 ways, for example, as 101643641856 + 4161798144 = 318816^2 + 64512^2 .

It is a super-2 number, since 2×105805440000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (105805440007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 673919922 + ... + 673920078.

Almost surely, 2^105805440000 is an apocalyptic number.

105805440000 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 105805440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213948562982).

105805440000 is an abundant number, since it is smaller than the sum of its proper divisors (322091685964).

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

105805440000 is an equidigital number, since it uses as much as digits as its factorization.

105805440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 105805440000 its reverse (44508501), we get a palindrome (105849948501).

The spelling of 105805440000 in words is "one hundred five billion, eight hundred five million, four hundred forty thousand".