10500105055200 has 144 divisors (see below), whose sum is σ = 34180612300800. Its totient is φ = 2799801054720.

The previous prime is 10500105055183. The next prime is 10500105055261. The reversal of 10500105055200 is 255050100501.

It is a super-2 number, since 2×10500105055200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30546687 + ... + 30888513.

It is an arithmetic number, because the mean of its divisors is an integer number (237365363200).

Almost surely, 2^{10500105055200} is an apocalyptic number.

10500105055200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10500105055200 is an abundant number, since it is smaller than the sum of its proper divisors (23680507245600).

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

10500105055200 is a wasteful number, since it uses less digits than its factorization.

10500105055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354649 (or 354636 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 24.

Adding to 10500105055200 its reverse (255050100501), we get a palindrome (10755155155701).

The spelling of 10500105055200 in words is "ten trillion, five hundred billion, one hundred five million, fifty-five thousand, two hundred".