105055248410381 has 8 divisors (see below), whose sum is σ = 105235512991128. Its totient is φ = 104875070440000.

The previous prime is 105055248410363. The next prime is 105055248410389. The reversal of 105055248410381 is 183014842550501.

It can be written as a sum of positive squares in 4 ways, for example, as 23317212864100 + 81738035546281 = 4828790^2 + 9040909^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105055248410381 - 2³⁸ = 104780370503437 is a prime.

It is a super-2 number, since 2×105055248410381² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105055248410389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19224350 + ... + 24076671.

It is an arithmetic number, because the mean of its divisors is an integer number (13154439123891).

Almost surely, 2^{105055248410381} is an apocalyptic number.

It is an amenable number.

105055248410381 is a deficient number, since it is larger than the sum of its proper divisors (180264580747).

105055248410381 is an equidigital number, since it uses as much as digits as its factorization.

105055248410381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43305183.

The product of its (nonzero) digits is 768000, while the sum is 47.

The spelling of 105055248410381 in words is "one hundred five trillion, fifty-five billion, two hundred forty-eight million, four hundred ten thousand, three hundred eighty-one".