105452048673380 has 24 divisors (see below), whose sum is σ = 221478904092600. Its totient is φ = 42175181016320.

The previous prime is 105452048673379. The next prime is 105452048673383. The reversal of 105452048673380 is 83376840254501.

It can be written as a sum of positive squares in 4 ways, for example, as 29743847179264 + 75708201494116 = 5453792^2 + 8701046^2 .

It is a super-2 number, since 2×105452048673380² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105452048673383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352249955 + ... + 352549194.

It is an arithmetic number, because the mean of its divisors is an integer number (9228287670525).

Almost surely, 2^{105452048673380} is an apocalyptic number.

105452048673380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105452048673380 is an abundant number, since it is smaller than the sum of its proper divisors (116026855419220).

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

105452048673380 is a wasteful number, since it uses less digits than its factorization.

105452048673380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704806639 (or 704806637 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 56.

The spelling of 105452048673380 in words is "one hundred five trillion, four hundred fifty-two billion, forty-eight million, six hundred seventy-three thousand, three hundred eighty".