10500232200 has 96 divisors (see below), whose sum is σ = 34263952800. Its totient is φ = 2652687360.

The previous prime is 10500232163. The next prime is 10500232201. The reversal of 10500232200 is 223200501.

It is a super-2 number, since 2×10500232200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10500232200.

It is not an unprimeable number, because it can be changed into a prime (10500232201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449137 + ... + 471936.

It is an arithmetic number, because the mean of its divisors is an integer number (356916175).

Almost surely, 2^10500232200 is an apocalyptic number.

10500232200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10500232200 is an abundant number, since it is smaller than the sum of its proper divisors (23763720600).

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

10500232200 is a wasteful number, since it uses less digits than its factorization.

10500232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921111 (or 921102 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 10500232200 its reverse (223200501), we get a palindrome (10723432701).

The spelling of 10500232200 in words is "ten billion, five hundred million, two hundred thirty-two thousand, two hundred".