10605505511105 has 32 divisors (see below), whose sum is σ = 12795738480000. Its totient is φ = 8438438421504.

The previous prime is 10605505511087. The next prime is 10605505511129. The reversal of 10605505511105 is 50111550550601.

10605505511105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10605505511105 - 2²⁸ = 10605237075649 is a prime.

It is a super-2 number, since 2×10605505511105² (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 31 ways as a sum of consecutive naturals, for example, 3608540726 + ... + 3608543664.

It is an arithmetic number, because the mean of its divisors is an integer number (399866827500).

Almost surely, 2^{10605505511105} is an apocalyptic number.

It is an amenable number.

10605505511105 is a deficient number, since it is larger than the sum of its proper divisors (2190232968895).

10605505511105 is a wasteful number, since it uses less digits than its factorization.

10605505511105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6881.

The product of its (nonzero) digits is 18750, while the sum is 35.

The spelling of 10605505511105 in words is "ten trillion, six hundred five billion, five hundred five million, five hundred eleven thousand, one hundred five".