105005101100110 has 32 divisors (see below), whose sum is σ = 195415454398464. Its totient is φ = 40582718820000.

The previous prime is 105005101100101. The next prime is 105005101100131. The reversal of 105005101100110 is 11001101500501.

It is a super-2 number, since 2×105005101100110² (a number of 29 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, 268208616 + ... + 268599835.

It is an arithmetic number, because the mean of its divisors is an integer number (6106732949952).

Almost surely, 2^{105005101100110} is an apocalyptic number.

105005101100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105005101100110 is a deficient number, since it is larger than the sum of its proper divisors (90410353298354).

105005101100110 is a wasteful number, since it uses less digits than its factorization.

105005101100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536809120.

The product of its (nonzero) digits is 25, while the sum is 16.

Adding to 105005101100110 its reverse (11001101500501), we get a palindrome (116006202600611).

The spelling of 105005101100110 in words is "one hundred five trillion, five billion, one hundred one million, one hundred thousand, one hundred ten".