10605505511106 has 48 divisors (see below), whose sum is σ = 25073261598528. Its totient is φ = 3213058380000.

The previous prime is 10605505511087. The next prime is 10605505511129. The reversal of 10605505511106 is 60111550550601.

It is a happy number.

10605505511106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10605505511106² (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 23 ways as a sum of consecutive naturals, for example, 5220270 + ... + 6961481.

It is an arithmetic number, because the mean of its divisors is an integer number (522359616636).

Almost surely, 2^{10605505511106} is an apocalyptic number.

10605505511106 is an abundant number, since it is smaller than the sum of its proper divisors (14467756087422).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10605505511106 is a wasteful number, since it uses less digits than its factorization.

10605505511106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12186167 (or 12186164 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 10605505511106 in words is "ten trillion, six hundred five billion, five hundred five million, five hundred eleven thousand, one hundred six".