10204303120 has 80 divisors (see below), whose sum is σ = 26026816320. Its totient is φ = 3689868800.

The previous prime is 10204303111. The next prime is 10204303127. The reversal of 10204303120 is 2130340201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10204303094 and 10204303103.

It is not an unprimeable number, because it can be changed into a prime (10204303127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125130 + ... + 189910.

It is an arithmetic number, because the mean of its divisors is an integer number (325335204).

Almost surely, 2^10204303120 is an apocalyptic number.

10204303120 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 10204303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13013408160).

10204303120 is an abundant number, since it is smaller than the sum of its proper divisors (15822513200).

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

10204303120 is a wasteful number, since it uses less digits than its factorization.

10204303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64984 (or 64978 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10204303120 its reverse (2130340201), we get a palindrome (12334643321).

The spelling of 10204303120 in words is "ten billion, two hundred four million, three hundred three thousand, one hundred twenty".