105001101110 has 16 divisors (see below), whose sum is σ = 189129454416. Its totient is φ = 41972113248.

The previous prime is 105001101077. The next prime is 105001101143. The reversal of 105001101110 is 11101100501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105001101077) and next prime (105001101143).

It is a super-2 number, since 2×105001101110² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105001101091 and 105001101100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3525329 + ... + 3554988.

It is an arithmetic number, because the mean of its divisors is an integer number (11820590901).

Almost surely, 2^105001101110 is an apocalyptic number.

105001101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105001101110 is a deficient number, since it is larger than the sum of its proper divisors (84128353306).

105001101110 is a wasteful number, since it uses less digits than its factorization.

105001101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7081807.

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 105001101110 its reverse (11101100501), we get a palindrome (116102201611).

The spelling of 105001101110 in words is "one hundred five billion, one million, one hundred one thousand, one hundred ten".