10006105600051 has 8 divisors (see below), whose sum is σ = 10915797431664. Its totient is φ = 9096421413120.

The previous prime is 10006105600039. The next prime is 10006105600079. The reversal of 10006105600051 is 15000650160001.

10006105600051 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 10006105600051 - 2³⁵ = 9971745861683 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10006105599989 and 10006105600025.

It is not an unprimeable number, because it can be changed into a prime (10006105600451) 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, 1021255 + ... + 4588591.

It is an arithmetic number, because the mean of its divisors is an integer number (1364474678958).

Almost surely, 2^{10006105600051} is an apocalyptic number.

10006105600051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10006105600051 is a deficient number, since it is larger than the sum of its proper divisors (909691831613).

10006105600051 is a wasteful number, since it uses less digits than its factorization.

10006105600051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822341.

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 10006105600051 its reverse (15000650160001), we get a palindrome (25006755760052).

The spelling of 10006105600051 in words is "ten trillion, six billion, one hundred five million, six hundred thousand, fifty-one".