10105506935056 has 135 divisors (see below), whose sum is σ = 21430278899757. Its totient is φ = 4614260152320.

The previous prime is 10105506935011. The next prime is 10105506935059. The reversal of 10105506935056 is 65053960550101.

The square root of 10105506935056 is 3178916.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 8845365981456 + 1260140953600 = 2974116^2 + 1122560^2 .

It is a super-2 number, since 2×10105506935056² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10105506934997 and 10105506935015.

It is not an unprimeable number, because it can be changed into a prime (10105506935059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18679310146 + ... + 18679310686.

Almost surely, 2^{10105506935056} is an apocalyptic number.

10105506935056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10105506935056 is the 3178916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10105506935056

10105506935056 is an abundant number, since it is smaller than the sum of its proper divisors (11324771964701).

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

10105506935056 is an frugal number, since it uses more digits than its factorization.

10105506935056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 46.

The spelling of 10105506935056 in words is "ten trillion, one hundred five billion, five hundred six million, nine hundred thirty-five thousand, fifty-six".