10805364 has 18 divisors (see below), whose sum is σ = 27313650. Its totient is φ = 3601776.

The previous prime is 10805363. The next prime is 10805411. The reversal of 10805364 is 46350801.

It can be written as a sum of positive squares in only one way, i.e., 10304100 + 501264 = 3210^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10805363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150039 + ... + 150110.

It is an arithmetic number, because the mean of its divisors is an integer number (1517425).

Almost surely, 2^10805364 is an apocalyptic number.

It is an amenable number.

10805364 is an abundant number, since it is smaller than the sum of its proper divisors (16508286).

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

10805364 is a wasteful number, since it uses less digits than its factorization.

10805364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300159 (or 300154 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10805364 is about 3287.1513503336. The cubic root of 10805364 is about 221.0784785745.

The spelling of 10805364 in words is "ten million, eight hundred five thousand, three hundred sixty-four".