10500203340 has 720 divisors, whose sum is σ = 40294812096. Its totient is φ = 2274877440.

The previous prime is 10500203327. The next prime is 10500203383. The reversal of 10500203340 is 4330200501.

10500203340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10500203340² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 76643752 + ... + 76643888.

Almost surely, 2^10500203340 is an apocalyptic number.

10500203340 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 10500203340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20147406048).

10500203340 is an abundant number, since it is smaller than the sum of its proper divisors (29794608756).

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

10500203340 is a wasteful number, since it uses less digits than its factorization.

10500203340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 10500203340 its reverse (4330200501), we get a palindrome (14830403841).

The spelling of 10500203340 in words is "ten billion, five hundred million, two hundred three thousand, three hundred forty".