105730048 has 52 divisors (see below), whose sum is σ = 214669728. Its totient is φ = 52060160.

The previous prime is 105730039. The next prime is 105730067. The reversal of 105730048 is 840037501.

It is a super-2 number, since 2×105730048² = 22357686100164608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105729998 and 105730025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 339813 + ... + 340123.

It is an arithmetic number, because the mean of its divisors is an integer number (4128264).

Almost surely, 2^105730048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105730048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107334864).

105730048 is an abundant number, since it is smaller than the sum of its proper divisors (108939680).

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

105730048 is an frugal number, since it uses more digits than its factorization.

105730048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 105730048 is about 10282.5117554030. The cubic root of 105730048 is about 472.8602524938.

Adding to 105730048 its reverse (840037501), we get a palindrome (945767549).

The spelling of 105730048 in words is "one hundred five million, seven hundred thirty thousand, forty-eight".