10805400 has 240 divisors, whose sum is σ = 40510800. Its totient is φ = 2661120.

The previous prime is 10805363. The next prime is 10805411. The reversal of 10805400 is 450801.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 372586 + ... + 372614.

It is an arithmetic number, because the mean of its divisors is an integer number (168795).

Almost surely, 2^10805400 is an apocalyptic number.

10805400 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 10805400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255400).

10805400 is an abundant number, since it is smaller than the sum of its proper divisors (29705400).

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

10805400 is a wasteful number, since it uses less digits than its factorization.

10805400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10805400 is about 3287.1568261949. The cubic root of 10805400 is about 221.0787240951.

It can be divided in two parts, 1080 and 5400, that multiplied together give a cube (5832000 = 180³).

The spelling of 10805400 in words is "ten million, eight hundred five thousand, four hundred".