105800120 has 64 divisors (see below), whose sum is σ = 247968000. Its totient is φ = 40578048.

The previous prime is 105800119. The next prime is 105800143. The reversal of 105800120 is 21008501.

It is a super-2 number, since 2×105800120² = 22387330784028800, 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 15 ways as a sum of consecutive naturals, for example, 258476 + ... + 258884.

It is an arithmetic number, because the mean of its divisors is an integer number (3874500).

Almost surely, 2^105800120 is an apocalyptic number.

105800120 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 105800120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123984000).

105800120 is an abundant number, since it is smaller than the sum of its proper divisors (142167880).

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

105800120 is a wasteful number, since it uses less digits than its factorization.

105800120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 105800120 is about 10285.9185297182. The cubic root of 105800120 is about 472.9646912574.

Adding to 105800120 its reverse (21008501), we get a palindrome (126808621).

The spelling of 105800120 in words is "one hundred five million, eight hundred thousand, one hundred twenty".