105811120 has 40 divisors (see below), whose sum is σ = 252666864. Its totient is φ = 41179392.

The previous prime is 105811093. The next prime is 105811129. The reversal of 105811120 is 21118501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105811120² = 22391986231308800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105811129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14914 + ... + 20833.

Almost surely, 2^105811120 is an apocalyptic number.

105811120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105811120 is an abundant number, since it is smaller than the sum of its proper divisors (146855744).

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

105811120 is a wasteful number, since it uses less digits than its factorization.

105811120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35797 (or 35791 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 19.

The square root of 105811120 is about 10286.4532274249. The cubic root of 105811120 is about 472.9810820117.

Adding to 105811120 its reverse (21118501), we get a palindrome (126929621).

The spelling of 105811120 in words is "one hundred five million, eight hundred eleven thousand, one hundred twenty".