10116800 has 42 divisors (see below), whose sum is σ = 24897588. Its totient is φ = 4046080.

The previous prime is 10116793. The next prime is 10116811. The reversal of 10116800 is 861101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1562 + ... + 4761.

Almost surely, 2^10116800 is an apocalyptic number.

10116800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10116800 is an abundant number, since it is smaller than the sum of its proper divisors (14780788).

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

10116800 is an equidigital number, since it uses as much as digits as its factorization.

10116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345 (or 6330 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 10116800 is about 3180.6917486610. The cubic root of 10116800 is about 216.2790175680.

Adding to 10116800 its reverse (861101), we get a palindrome (10977901).

The spelling of 10116800 in words is "ten million, one hundred sixteen thousand, eight hundred".