10801800 has 144 divisors (see below), whose sum is σ = 38518740. Its totient is φ = 2703360.

The previous prime is 10801799. The next prime is 10801801. The reversal of 10801800 is 810801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10801799) and next prime (10801801).

It can be written as a sum of positive squares in 6 ways, for example, as 4955076 + 5846724 = 2226^2 + 2418^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10801801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30424 + ... + 30776.

Almost surely, 2^10801800 is an apocalyptic number.

10801800 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 10801800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19259370).

10801800 is an abundant number, since it is smaller than the sum of its proper divisors (27716940).

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

10801800 is a wasteful number, since it uses less digits than its factorization.

10801800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 10801800 is about 3286.6091948998. The cubic root of 10801800 is about 221.0541693413.

Subtracting from 10801800 its reverse (810801), we obtain a palindrome (9990999).

The spelling of 10801800 in words is "ten million, eight hundred one thousand, eight hundred".