10205403320 has 64 divisors (see below), whose sum is σ = 26357227200. Its totient is φ = 3483694080.

The previous prime is 10205403293. The next prime is 10205403343. The reversal of 10205403320 is 2330450201.

It is a happy number.

It is a super-3 number, since 3×10205403320³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10205403292 and 10205403301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15461 + ... + 143700.

It is an arithmetic number, because the mean of its divisors is an integer number (411831675).

Almost surely, 2^10205403320 is an apocalyptic number.

10205403320 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 10205403320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13178613600).

10205403320 is an abundant number, since it is smaller than the sum of its proper divisors (16151823880).

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

10205403320 is a wasteful number, since it uses less digits than its factorization.

10205403320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159408 (or 159404 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 10205403320 its reverse (2330450201), we get a palindrome (12535853521).

The spelling of 10205403320 in words is "ten billion, two hundred five million, four hundred three thousand, three hundred twenty".