10500555105050 has 24 divisors (see below), whose sum is σ = 19573770027036. Its totient is φ = 4191031175040.

The previous prime is 10500555105049. The next prime is 10500555105067. The reversal of 10500555105050 is 5050155500501.

It can be written as a sum of positive squares in 6 ways, for example, as 5851188479929 + 4649366625121 = 2418923^2 + 2156239^2 .

It is a super-2 number, since 2×10500555105050² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10500555104998 and 10500555105016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229748597 + ... + 229794296.

Almost surely, 2^{10500555105050} is an apocalyptic number.

10500555105050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10500555105050 is a deficient number, since it is larger than the sum of its proper divisors (9073214921986).

10500555105050 is a wasteful number, since it uses less digits than its factorization.

10500555105050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459543362 (or 459543357 counting only the distinct ones).

The product of its (nonzero) digits is 15625, while the sum is 32.

The spelling of 10500555105050 in words is "ten trillion, five hundred billion, five hundred fifty-five million, one hundred five thousand, fifty".