11105000111114 has 64 divisors (see below), whose sum is σ = 20669923491840. Its totient is φ = 4357232637120.

The previous prime is 11105000111113. The next prime is 11105000111119. The reversal of 11105000111114 is 41111100050111.

It is a happy number.

It is a super-3 number, since 3×11105000111114³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11105000111092 and 11105000111101.

It is not an unprimeable number, because it can be changed into a prime (11105000111111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12032369 + ... + 12922379.

It is an arithmetic number, because the mean of its divisors is an integer number (322967554560).

Almost surely, 2^{11105000111114} is an apocalyptic number.

11105000111114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11105000111114 is a deficient number, since it is larger than the sum of its proper divisors (9564923380726).

11105000111114 is a wasteful number, since it uses less digits than its factorization.

11105000111114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890595.

The product of its (nonzero) digits is 20, while the sum is 17.

Adding to 11105000111114 its reverse (41111100050111), we get a palindrome (52216100161225).

The spelling of 11105000111114 in words is "eleven trillion, one hundred five billion, one hundred eleven thousand, one hundred fourteen".