10540800 has 216 divisors, whose sum is σ = 39285680. Its totient is φ = 2764800.

The previous prime is 10540781. The next prime is 10540807. The reversal of 10540800 is 804501.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×10540800² = 222216929280000, which contains 22 as substring.

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

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172770 + ... + 172830.

Almost surely, 2^10540800 is an apocalyptic number.

10540800 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 10540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19642840).

10540800 is an abundant number, since it is smaller than the sum of its proper divisors (28744880).

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

10540800 is an equidigital number, since it uses as much as digits as its factorization.

10540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

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

The square root of 10540800 is about 3246.6598220325. The cubic root of 10540800 is about 219.2592164236.

The spelling of 10540800 in words is "ten million, five hundred forty thousand, eight hundred".