105318180 has 144 divisors (see below), whose sum is σ = 356900544. Its totient is φ = 24917760.

The previous prime is 105318151. The next prime is 105318181. The reversal of 105318180 is 81813501.

It is a super-2 number, since 2×105318180² = 22183838077024800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105318181) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 84522 + ... + 85758.

It is an arithmetic number, because the mean of its divisors is an integer number (2478476).

Almost surely, 2^105318180 is an apocalyptic number.

105318180 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 105318180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178450272).

105318180 is an abundant number, since it is smaller than the sum of its proper divisors (251582364).

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

105318180 is a wasteful number, since it uses less digits than its factorization.

105318180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 105318180 is about 10262.4646162606. The cubic root of 105318180 is about 472.2454495201.

The spelling of 105318180 in words is "one hundred five million, three hundred eighteen thousand, one hundred eighty".