10805080 has 64 divisors (see below), whose sum is σ = 28576800. Its totient is φ = 3624960.

The previous prime is 10805077. The next prime is 10805087. The reversal of 10805080 is 8050801.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10805087) 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 15 ways as a sum of consecutive naturals, for example, 4776 + ... + 6664.

Almost surely, 2^10805080 is an apocalyptic number.

10805080 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 10805080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288400).

10805080 is an abundant number, since it is smaller than the sum of its proper divisors (17771720).

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

10805080 is a wasteful number, since it uses less digits than its factorization.

10805080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 10805080 is about 3287.1081515521. The cubic root of 10805080 is about 221.0765416711.

Adding to 10805080 its reverse (8050801), we get a palindrome (18855881).

The spelling of 10805080 in words is "ten million, eight hundred five thousand, eighty".