10005105506051 has 8 divisors (see below), whose sum is σ = 10594101911184. Its totient is φ = 9416160299520.

The previous prime is 10005105506047. The next prime is 10005105506063. The reversal of 10005105506051 is 15060550150001.

It is a happy number.

10005105506051 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10005105506051 - 2² = 10005105506047 is a prime.

It is a super-2 number, since 2×10005105506051² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005105506651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12396950 + ... + 13179323.

It is an arithmetic number, because the mean of its divisors is an integer number (1324262738898).

Almost surely, 2^{10005105506051} is an apocalyptic number.

10005105506051 is a deficient number, since it is larger than the sum of its proper divisors (588996405133).

10005105506051 is a wasteful number, since it uses less digits than its factorization.

10005105506051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25599301.

The product of its (nonzero) digits is 3750, while the sum is 29.

Adding to 10005105506051 its reverse (15060550150001), we get a palindrome (25065655656052).

The spelling of 10005105506051 in words is "ten trillion, five billion, one hundred five million, five hundred six thousand, fifty-one".