10096800 has 144 divisors (see below), whose sum is σ = 37622592. Its totient is φ = 2304000.

The previous prime is 10096777. The next prime is 10096811. The reversal of 10096800 is 869001.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16500 + ... + 17100.

It is an arithmetic number, because the mean of its divisors is an integer number (261268).

Almost surely, 2^10096800 is an apocalyptic number.

10096800 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 10096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18811296).

10096800 is an abundant number, since it is smaller than the sum of its proper divisors (27525792).

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

10096800 is a wasteful number, since it uses less digits than its factorization.

10096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10096800 is about 3177.5462231099. The cubic root of 10096800 is about 216.1364021852.

The spelling of 10096800 in words is "ten million, ninety-six thousand, eight hundred".