105820110 has 96 divisors (see below), whose sum is σ = 303769440. Its totient is φ = 25344000.

The previous prime is 105820109. The next prime is 105820123. The reversal of 105820110 is 11028501.

It is a super-2 number, since 2×105820110² = 22395791360824200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87510 + ... + 88710.

It is an arithmetic number, because the mean of its divisors is an integer number (3164265).

Almost surely, 2^105820110 is an apocalyptic number.

105820110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105820110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151884720).

105820110 is an abundant number, since it is smaller than the sum of its proper divisors (197949330).

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

105820110 is a wasteful number, since it uses less digits than its factorization.

105820110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 105820110 is about 10286.8902006389. The cubic root of 105820110 is about 472.9944768846.

Adding to 105820110 its reverse (11028501), we get a palindrome (116848611).

The spelling of 105820110 in words is "one hundred five million, eight hundred twenty thousand, one hundred ten".