105008488 has 48 divisors (see below), whose sum is σ = 215592300. Its totient is φ = 47923200.

The previous prime is 105008483. The next prime is 105008509. The reversal of 105008488 is 884800501.

It can be written as a sum of positive squares in 6 ways, for example, as 36747844 + 68260644 = 6062^2 + 8262^2 .

It is a super-2 number, since 2×105008488² = 22053565104092288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105008483) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 136168 + ... + 136936.

Almost surely, 2^105008488 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 105008488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107796150).

105008488 is an abundant number, since it is smaller than the sum of its proper divisors (110583812).

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

105008488 is a wasteful number, since it uses less digits than its factorization.

105008488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 105008488 is about 10247.3649295807. The cubic root of 105008488 is about 471.7821100023.

Adding to 105008488 its reverse (884800501), we get a palindrome (989808989).

The spelling of 105008488 in words is "one hundred five million, eight thousand, four hundred eighty-eight".