248105388100 has 18 divisors (see below), whose sum is σ = 538388692394. Its totient is φ = 99242155200.

The previous prime is 248105388029. The next prime is 248105388143. The reversal of 248105388100 is 1883501842.

It can be written as a sum of positive squares in 3 ways, for example, as 5229893124 + 242875494976 = 72318^2 + 492824^2 .

It is a super-2 number, since 2×248105388100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1240526841 + ... + 1240527040.

Almost surely, 2^248105388100 is an apocalyptic number.

248105388100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248105388100 is an abundant number, since it is smaller than the sum of its proper divisors (290283304294).

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

248105388100 is a wasteful number, since it uses less digits than its factorization.

248105388100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481053895 (or 2481053888 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

Adding to 248105388100 its reverse (1883501842), we get a palindrome (249988889942).

The spelling of 248105388100 in words is "two hundred forty-eight billion, one hundred five million, three hundred eighty-eight thousand, one hundred".