105730218 has 128 divisors (see below), whose sum is σ = 273715200. Its totient is φ = 29937600.

The previous prime is 105730189. The next prime is 105730223. The reversal of 105730218 is 812037501.

It is a super-2 number, since 2×105730218² = 22357757996655048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105730191 and 105730200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 969948 + ... + 970056.

It is an arithmetic number, because the mean of its divisors is an integer number (2138400).

Almost surely, 2^105730218 is an apocalyptic number.

105730218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105730218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136857600).

105730218 is an abundant number, since it is smaller than the sum of its proper divisors (167984982).

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

105730218 is a wasteful number, since it uses less digits than its factorization.

105730218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 105730218 is about 10282.5200218623. The cubic root of 105730218 is about 472.8605059260.

Adding to 105730218 its reverse (812037501), we get a palindrome (917767719).

The spelling of 105730218 in words is "one hundred five million, seven hundred thirty thousand, two hundred eighteen".