10500105605059 has 48 divisors (see below), whose sum is σ = 12863687915520. Its totient is φ = 8533901214720.

The previous prime is 10500105605053. The next prime is 10500105605081. The reversal of 10500105605059 is 95050650100501.

It is a happy number.

10500105605059 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10500105605059 - 2¹¹ = 10500105603011 is a prime.

It is a super-2 number, since 2×10500105605059² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10500105605053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23952574 + ... + 24387004.

It is an arithmetic number, because the mean of its divisors is an integer number (267993498240).

Almost surely, 2^{10500105605059} is an apocalyptic number.

10500105605059 is a deficient number, since it is larger than the sum of its proper divisors (2363582310461).

10500105605059 is a wasteful number, since it uses less digits than its factorization.

10500105605059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434780 (or 434773 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 37.

The spelling of 10500105605059 in words is "ten trillion, five hundred billion, one hundred five million, six hundred five thousand, fifty-nine".