105131180 has 96 divisors (see below), whose sum is σ = 289820160. Its totient is φ = 31034880.

The previous prime is 105131129. The next prime is 105131207. The reversal of 105131180 is 81131501.

It is a super-2 number, since 2×105131180² = 22105130016384800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27464 + ... + 31056.

It is an arithmetic number, because the mean of its divisors is an integer number (3018960).

Almost surely, 2^105131180 is an apocalyptic number.

105131180 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 105131180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144910080).

105131180 is an abundant number, since it is smaller than the sum of its proper divisors (184688980).

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

105131180 is a wasteful number, since it uses less digits than its factorization.

105131180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

The square root of 105131180 is about 10253.3496965626. The cubic root of 105131180 is about 471.9657820162.

Adding to 105131180 its reverse (81131501), we get a palindrome (186262681).

The spelling of 105131180 in words is "one hundred five million, one hundred thirty-one thousand, one hundred eighty".