10106055505060 has 24 divisors (see below), whose sum is σ = 21740343795576. Its totient is φ = 3943826538240.

The previous prime is 10106055505003. The next prime is 10106055505061. The reversal of 10106055505060 is 6050555060101.

It can be written as a sum of positive squares in 4 ways, for example, as 68146058304 + 10037909446756 = 261048^2 + 3168266^2 .

It is not an unprimeable number, because it can be changed into a prime (10106055505061) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6162228147 + ... + 6162229786.

It is an arithmetic number, because the mean of its divisors is an integer number (905847658149).

Almost surely, 2^{10106055505060} is an apocalyptic number.

10106055505060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106055505060 is an abundant number, since it is smaller than the sum of its proper divisors (11634288290516).

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

10106055505060 is a wasteful number, since it uses less digits than its factorization.

10106055505060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12324457983 (or 12324457981 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 10106055505060 in words is "ten trillion, one hundred six billion, fifty-five million, five hundred five thousand, sixty".