10805388 has 48 divisors (see below), whose sum is σ = 27793920. Its totient is φ = 3240000.

The previous prime is 10805363. The next prime is 10805411. The reversal of 10805388 is 88350801.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14013 + ... + 14763.

It is an arithmetic number, because the mean of its divisors is an integer number (579040).

Almost surely, 2^10805388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10805388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13896960).

10805388 is an abundant number, since it is smaller than the sum of its proper divisors (16988532).

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

10805388 is a wasteful number, since it uses less digits than its factorization.

10805388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 10805388 is about 3287.1550009088. The cubic root of 10805388 is about 221.0786422549.

The spelling of 10805388 in words is "ten million, eight hundred five thousand, three hundred eighty-eight".