105085036111 has 16 divisors (see below), whose sum is σ = 115082726400. Its totient is φ = 95162152000.

The previous prime is 105085036103. The next prime is 105085036117. The reversal of 105085036111 is 111630580501.

It is a cyclic number.

It is not a de Polignac number, because 105085036111 - 2³ = 105085036103 is a prime.

It is a super-2 number, since 2×105085036111² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105085036117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2980536 + ... + 3015586.

It is an arithmetic number, because the mean of its divisors is an integer number (7192670400).

Almost surely, 2^105085036111 is an apocalyptic number.

105085036111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105085036111 is a deficient number, since it is larger than the sum of its proper divisors (9997690289).

105085036111 is a wasteful number, since it uses less digits than its factorization.

105085036111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36110.

The product of its (nonzero) digits is 3600, while the sum is 31.

The spelling of 105085036111 in words is "one hundred five billion, eighty-five million, thirty-six thousand, one hundred eleven".