10056005051105 has 16 divisors (see below), whose sum is σ = 12999131283600. Its totient is φ = 7423870902528.

The previous prime is 10056005051047. The next prime is 10056005051119. The reversal of 10056005051105 is 50115050065001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 580837564129 + 9475167486976 = 762127^2 + 3078176^2 .

It is a cyclic number.

It is not a de Polignac number, because 10056005051105 - 2³⁸ = 9781127144161 is a prime.

It is a super-2 number, since 2×10056005051105² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21665030 + ... + 22124319.

It is an arithmetic number, because the mean of its divisors is an integer number (812445705225).

Almost surely, 2^{10056005051105} is an apocalyptic number.

It is an amenable number.

10056005051105 is a deficient number, since it is larger than the sum of its proper divisors (2943126232495).

10056005051105 is a wasteful number, since it uses less digits than its factorization.

10056005051105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43792900.

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

The spelling of 10056005051105 in words is "ten trillion, fifty-six billion, five million, fifty-one thousand, one hundred five".