10500900468 has 24 divisors (see below), whose sum is σ = 25791685920. Its totient is φ = 3316073760.

The previous prime is 10500900463. The next prime is 10500900469. The reversal of 10500900468 is 86400900501.

10500900468 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 2×10500900468² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500900463) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23028063 + ... + 23028518.

It is an arithmetic number, because the mean of its divisors is an integer number (1074653580).

Almost surely, 2^10500900468 is an apocalyptic number.

It is an amenable number.

10500900468 is an abundant number, since it is smaller than the sum of its proper divisors (15290785452).

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

10500900468 is a wasteful number, since it uses less digits than its factorization.

10500900468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46056607 (or 46056605 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

Adding to 10500900468 its sum of digits (33), we get a palindrome (10500900501).

The spelling of 10500900468 in words is "ten billion, five hundred million, nine hundred thousand, four hundred sixty-eight".