105801180 has 48 divisors (see below), whose sum is σ = 298045440. Its totient is φ = 28042048.

The previous prime is 105801151. The next prime is 105801187. The reversal of 105801180 is 81108501.

It is a super-2 number, since 2×105801180² = 22387779378784800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105801180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105801187) 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, 4741 + ... + 15299.

It is an arithmetic number, because the mean of its divisors is an integer number (6209280).

Almost surely, 2^105801180 is an apocalyptic number.

105801180 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 105801180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149022720).

105801180 is an abundant number, since it is smaller than the sum of its proper divisors (192244260).

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

105801180 is a wasteful number, since it uses less digits than its factorization.

105801180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10738 (or 10736 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 24.

The square root of 105801180 is about 10285.9700563437. The cubic root of 105801180 is about 472.9662707795.

Adding to 105801180 its reverse (81108501), we get a palindrome (186909681).

The spelling of 105801180 in words is "one hundred five million, eight hundred one thousand, one hundred eighty".