10120800 has 72 divisors (see below), whose sum is σ = 32951016. Its totient is φ = 2698240.

The previous prime is 10120783. The next prime is 10120807. The reversal of 10120800 is 802101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 292 + ... + 4508.

It is an arithmetic number, because the mean of its divisors is an integer number (457653).

Almost surely, 2^10120800 is an apocalyptic number.

10120800 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 10120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475508).

10120800 is an abundant number, since it is smaller than the sum of its proper divisors (22830216).

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

10120800 is a wasteful number, since it uses less digits than its factorization.

10120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10120800 is about 3181.3204805552. The cubic root of 10120800 is about 216.3075180846.

Adding to 10120800 its reverse (802101), we get a palindrome (10922901).

The spelling of 10120800 in words is "ten million, one hundred twenty thousand, eight hundred".