10500105561102 has 24 divisors (see below), whose sum is σ = 22755555557280. Its totient is φ = 3499215672960.

The previous prime is 10500105561079. The next prime is 10500105561223. The reversal of 10500105561102 is 20116550100501.

10500105561102 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 0 + 1 + 0 + 556 + 1 + 102 = 666.

It is a super-2 number, since 2×10500105561102² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 68213827 + ... + 68367582.

It is an arithmetic number, because the mean of its divisors is an integer number (948148148220).

Almost surely, 2^{10500105561102} is an apocalyptic number.

10500105561102 is an abundant number, since it is smaller than the sum of its proper divisors (12255449996178).

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

10500105561102 is a wasteful number, since it uses less digits than its factorization.

10500105561102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136585688 (or 136585685 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 10500105561102 its reverse (20116550100501), we get a palindrome (30616655661603).

The spelling of 10500105561102 in words is "ten trillion, five hundred billion, one hundred five million, five hundred sixty-one thousand, one hundred two".