10010605105125 has 48 divisors (see below), whose sum is σ = 18485925297840. Its totient is φ = 5208770112000.

The previous prime is 10010605105073. The next prime is 10010605105153. The reversal of 10010605105125 is 52150150601001.

10010605105125 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 605 + 1 + 0 + 51 + 2 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2902419915201 + 7108185189924 = 1703649^2 + 2666118^2 .

It is not a de Polignac number, because 10010605105125 - 2²³ = 10010596716517 is a prime.

It is a super-3 number, since 3×10010605105125³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108469920 + ... + 108562169.

It is an arithmetic number, because the mean of its divisors is an integer number (385123443705).

Almost surely, 2^{10010605105125} is an apocalyptic number.

10010605105125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10010605105125 is a deficient number, since it is larger than the sum of its proper divisors (8475320192715).

10010605105125 is a wasteful number, since it uses less digits than its factorization.

10010605105125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217032151 (or 217032138 counting only the distinct ones).

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

Adding to 10010605105125 its reverse (52150150601001), we get a palindrome (62160755706126).

The spelling of 10010605105125 in words is "ten trillion, ten billion, six hundred five million, one hundred five thousand, one hundred twenty-five".