105811100 has 54 divisors (see below), whose sum is σ = 235089120. Its totient is φ = 41337440.

The previous prime is 105811093. The next prime is 105811129. The reversal of 105811100 is 1118501.

It is a super-2 number, since 2×105811100² = 22391977766420000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 220661 + ... + 221139.

Almost surely, 2^105811100 is an apocalyptic number.

105811100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105811100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117544560).

105811100 is an abundant number, since it is smaller than the sum of its proper divisors (129278020).

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

105811100 is a wasteful number, since it uses less digits than its factorization.

105811100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 17.

The square root of 105811100 is about 10286.4522552725. The cubic root of 105811100 is about 472.9810522113.

Adding to 105811100 its reverse (1118501), we get a palindrome (106929601).

The spelling of 105811100 in words is "one hundred five million, eight hundred eleven thousand, one hundred".