10056006065105 has 64 divisors (see below), whose sum is σ = 16202952460800. Its totient is φ = 5786177310720.

The previous prime is 10056006065101. The next prime is 10056006065117. The reversal of 10056006065105 is 50156060065001.

10056006065105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10056006065105 - 2² = 10056006065101 is a prime.

It is a super-2 number, since 2×10056006065105² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (10056006065101) 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, 131638361 + ... + 131714729.

It is an arithmetic number, because the mean of its divisors is an integer number (253171132200).

Almost surely, 2^{10056006065105} is an apocalyptic number.

It is an amenable number.

10056006065105 is a deficient number, since it is larger than the sum of its proper divisors (6146946395695).

10056006065105 is a wasteful number, since it uses less digits than its factorization.

10056006065105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102714.

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 10056006065105 in words is "ten trillion, fifty-six billion, six million, sixty-five thousand, one hundred five".