105505511106 has 32 divisors (see below), whose sum is σ = 212816378880. Its totient is φ = 34868295504.

The previous prime is 105505511087. The next prime is 105505511131. The reversal of 105505511106 is 601115505501.

It is a super-2 number, since 2×105505511106² (a number of 23 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, 534531 + ... + 704793.

It is an arithmetic number, because the mean of its divisors is an integer number (6650511840).

Almost surely, 2^105505511106 is an apocalyptic number.

105505511106 is an abundant number, since it is smaller than the sum of its proper divisors (107310867774).

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

105505511106 is a wasteful number, since it uses less digits than its factorization.

105505511106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171150.

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 105505511106 in words is "one hundred five billion, five hundred five million, five hundred eleven thousand, one hundred six".