10118800 has 60 divisors (see below), whose sum is σ = 24943716. Its totient is φ = 3942400.

The previous prime is 10118753. The next prime is 10118831. The reversal of 10118800 is 881101.

It can be written as a sum of positive squares in 6 ways, for example, as 4511376 + 5607424 = 2124^2 + 2368^2 .

It is a super-2 number, since 2×10118800² = 204780226880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16092 + ... + 16708.

Almost surely, 2^10118800 is an apocalyptic number.

10118800 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 10118800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12471858).

10118800 is an abundant number, since it is smaller than the sum of its proper divisors (14824916).

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

10118800 is a wasteful number, since it uses less digits than its factorization.

10118800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

The square root of 10118800 is about 3181.0061301418. The cubic root of 10118800 is about 216.2932687651.

Adding to 10118800 its reverse (881101), we get a palindrome (10999901).

The spelling of 10118800 in words is "ten million, one hundred eighteen thousand, eight hundred".