105605101110 has 32 divisors (see below), whose sum is σ = 255387002112. Its totient is φ = 27946387040.

The previous prime is 105605101099. The next prime is 105605101157. The reversal of 105605101110 is 11101506501.

It is a happy number.

It is a super-2 number, since 2×105605101110² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 13431834 + ... + 13439693.

It is an arithmetic number, because the mean of its divisors is an integer number (7980843816).

Almost surely, 2^105605101110 is an apocalyptic number.

105605101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105605101110 is an abundant number, since it is smaller than the sum of its proper divisors (149781901002).

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

105605101110 is a wasteful number, since it uses less digits than its factorization.

105605101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26871668.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 105605101110 its reverse (11101506501), we get a palindrome (116706607611).

The spelling of 105605101110 in words is "one hundred five billion, six hundred five million, one hundred one thousand, one hundred ten".