10605006008010 has 48 divisors (see below), whose sum is σ = 27595306141416. Its totient is φ = 2825715394944.

The previous prime is 10605006007909. The next prime is 10605006008039. The reversal of 10605006008010 is 1080060050601.

10605006008010 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 50 + 0 + 600 + 8 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8990660424249 + 1614345583761 = 2998443^2 + 1270569^2 .

It is a super-2 number, since 2×10605006008010² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47517369 + ... + 47740028.

Almost surely, 2^{10605006008010} is an apocalyptic number.

10605006008010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10605006008010 is an abundant number, since it is smaller than the sum of its proper divisors (16990300133406).

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

10605006008010 is a wasteful number, since it uses less digits than its factorization.

10605006008010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95258647 (or 95258644 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 10605006008010 its reverse (1080060050601), we get a palindrome (11685066058611).

The spelling of 10605006008010 in words is "ten trillion, six hundred five billion, six million, eight thousand, ten".