105206048 has 48 divisors (see below), whose sum is σ = 217437696. Its totient is φ = 50012160.

The previous prime is 105206039. The next prime is 105206083. The reversal of 105206048 is 840602501.

It is a Cunningham number, because it is equal to 10257²-1.

It is a super-2 number, since 2×105206048² = 22136625071556608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163808 + ... + 164448.

It is an arithmetic number, because the mean of its divisors is an integer number (4529952).

Almost surely, 2^105206048 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 105206048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108718848).

105206048 is an abundant number, since it is smaller than the sum of its proper divisors (112231648).

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

105206048 is a wasteful number, since it uses less digits than its factorization.

105206048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 105206048 is about 10256.9999512528. Note that the first 4 decimals coincide. The cubic root of 105206048 is about 472.0777904918.

Adding to 105206048 its reverse (840602501), we get a palindrome (945808549).

The spelling of 105206048 in words is "one hundred five million, two hundred six thousand, forty-eight".