105048321 has 48 divisors (see below), whose sum is σ = 179189760. Its totient is φ = 53464320.

The previous prime is 105048311. The next prime is 105048323. The reversal of 105048321 is 123840501.

It is not a de Polignac number, because 105048321 - 2⁵ = 105048289 is a prime.

It is a super-2 number, since 2×105048321² = 22070299489838082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105048291 and 105048300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105048323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114856 + ... + 115766.

It is an arithmetic number, because the mean of its divisors is an integer number (3733120).

Almost surely, 2^105048321 is an apocalyptic number.

It is an amenable number.

105048321 is a deficient number, since it is larger than the sum of its proper divisors (74141439).

105048321 is a wasteful number, since it uses less digits than its factorization.

105048321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 105048321 is about 10249.3083181257. The cubic root of 105048321 is about 471.8417563587.

Adding to 105048321 its reverse (123840501), we get a palindrome (228888822).

The spelling of 105048321 in words is "one hundred five million, forty-eight thousand, three hundred twenty-one".