105248353119844 has 27 divisors (see below), whose sum is σ = 202451295208953. Its totient is φ = 47840057918400.

The previous prime is 105248353119839. The next prime is 105248353119887. The reversal of 105248353119844 is 448911353842501.

The square root of 105248353119844 is 10259062.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13966379814244 + 91281973305600 = 3737162^2 + 9554160^2 .

It is a super-2 number, since 2×105248353119844² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 225466204 + ... + 225932524.

Almost surely, 2^{105248353119844} is an apocalyptic number.

105248353119844 is the 10259062-nd square number.

It is an amenable number.

105248353119844 is a deficient number, since it is larger than the sum of its proper divisors (97202942089109).

105248353119844 is an frugal number, since it uses more digits than its factorization.

105248353119844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932668 (or 466334 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 58.

The spelling of 105248353119844 in words is "one hundred five trillion, two hundred forty-eight billion, three hundred fifty-three million, one hundred nineteen thousand, eight hundred forty-four".