105435412511441 has 8 divisors (see below), whose sum is σ = 105720103206600. Its totient is φ = 105150853048320.

The previous prime is 105435412511437. The next prime is 105435412511567. The reversal of 105435412511441 is 144115214534501.

It can be written as a sum of positive squares in 4 ways, for example, as 56827534867216 + 48607877644225 = 7538404^2 + 6971935^2 .

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 105435412511441 - 2² = 105435412511437 is a prime.

It is a super-2 number, since 2×105435412511441² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105435412511411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31198880 + ... + 34412801.

It is an arithmetic number, because the mean of its divisors is an integer number (13215012900825).

Almost surely, 2^{105435412511441} is an apocalyptic number.

It is an amenable number.

105435412511441 is a deficient number, since it is larger than the sum of its proper divisors (284690695159).

105435412511441 is an equidigital number, since it uses as much as digits as its factorization.

105435412511441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65616019.

The product of its (nonzero) digits is 192000, while the sum is 41.

The spelling of 105435412511441 in words is "one hundred five trillion, four hundred thirty-five billion, four hundred twelve million, five hundred eleven thousand, four hundred forty-one".