10800811104 has 36 divisors (see below), whose sum is σ = 28354802364. Its totient is φ = 3599930944.

The previous prime is 10800811061. The next prime is 10800811111. The reversal of 10800811104 is 40111800801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1012969 + ... + 1023575.

It is an arithmetic number, because the mean of its divisors is an integer number (787633399).

Almost surely, 2^10800811104 is an apocalyptic number.

It is an amenable number.

10800811104 is an abundant number, since it is smaller than the sum of its proper divisors (17553991260).

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

10800811104 is an frugal number, since it uses more digits than its factorization.

10800811104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21227 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

Multiplying 10800811104 by its sum of digits (24), we get a square (259219466496 = 509136²).

10800811104 divided by its sum of digits (24) gives a square (450033796 = 21214²).

It can be divided in two parts, 1080081 and 1104, that added together give a triangular number (1081185 = T₁₄₇₀).

The spelling of 10800811104 in words is "ten billion, eight hundred million, eight hundred eleven thousand, one hundred four".