10805091106500 has 1440 divisors, whose sum is σ = 39195065669760. Its totient is φ = 2598365952000.

The previous prime is 10805091106499. The next prime is 10805091106543. The reversal of 10805091106500 is 560119050801.

10805091106500 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 50 + 91 + 10 + 6 + 500 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 82481611435 + ... + 82481611565.

It is an arithmetic number, because the mean of its divisors is an integer number (27218795604).

Almost surely, 2^{10805091106500} is an apocalyptic number.

10805091106500 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 10805091106500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19597532834880).

10805091106500 is an abundant number, since it is smaller than the sum of its proper divisors (28389974563260).

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

10805091106500 is an equidigital number, since it uses as much as digits as its factorization.

10805091106500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 10805091106500 in words is "ten trillion, eight hundred five billion, ninety-one million, one hundred six thousand, five hundred".