105018180 has 96 divisors (see below), whose sum is σ = 313891200. Its totient is φ = 26142720.

The previous prime is 105018127. The next prime is 105018203. The reversal of 105018180 is 81810501.

It is a super-2 number, since 2×105018180² = 22057636261024800, 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 105018180.

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, 151635 + ... + 152325.

It is an arithmetic number, because the mean of its divisors is an integer number (3269700).

Almost surely, 2^105018180 is an apocalyptic number.

105018180 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 105018180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156945600).

105018180 is an abundant number, since it is smaller than the sum of its proper divisors (208873020).

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

105018180 is a wasteful number, since it uses less digits than its factorization.

105018180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 867 counting only the distinct ones).

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

The square root of 105018180 is about 10247.8378207308. The cubic root of 105018180 is about 471.7966242942.

Adding to 105018180 its reverse (81810501), we get a palindrome (186828681).

It can be divided in two parts, 10501 and 8180, that added together give a palindrome (18681).

The spelling of 105018180 in words is "one hundred five million, eighteen thousand, one hundred eighty".