105568125472 has 48 divisors (see below), whose sum is σ = 212929261272. Its totient is φ = 51501864960.

The previous prime is 105568125433. The next prime is 105568125491. The reversal of 105568125472 is 274521865501.

It can be written as a sum of positive squares in 4 ways, for example, as 71077692816 + 34490432656 = 266604^2 + 185716^2 .

It is a super-2 number, since 2×105568125472² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135028 + ... + 478924.

Almost surely, 2^105568125472 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 105568125472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106464630636).

105568125472 is an abundant number, since it is smaller than the sum of its proper divisors (107361135800).

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

105568125472 is a wasteful number, since it uses less digits than its factorization.

105568125472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344141 (or 344133 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 46.

The spelling of 105568125472 in words is "one hundred five billion, five hundred sixty-eight million, one hundred twenty-five thousand, four hundred seventy-two".