10006010105105 has 64 divisors (see below), whose sum is σ = 14584505548800. Its totient is φ = 6437321475840.

The previous prime is 10006010105101. The next prime is 10006010105111. The reversal of 10006010105105 is 50150101060001.

It is not a de Polignac number, because 10006010105105 - 2² = 10006010105101 is a prime.

It is a super-2 number, since 2×10006010105105² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10006010105101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150953120 + ... + 151019390.

It is an arithmetic number, because the mean of its divisors is an integer number (227882899200).

Almost surely, 2^{10006010105105} is an apocalyptic number.

It is an amenable number.

10006010105105 is a deficient number, since it is larger than the sum of its proper divisors (4578495443695).

10006010105105 is a wasteful number, since it uses less digits than its factorization.

10006010105105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68494.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 10006010105105 its reverse (50150101060001), we get a palindrome (60156111165106).

The spelling of 10006010105105 in words is "ten trillion, six billion, ten million, one hundred five thousand, one hundred five".