105485131793 has 2 divisors, whose sum is σ = 105485131794. Its totient is φ = 105485131792.

The previous prime is 105485131783. The next prime is 105485131799. The reversal of 105485131793 is 397131584501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96228382849 + 9256748944 = 310207^2 + 96212^2 .

It is a cyclic number.

It is not a de Polignac number, because 105485131793 - 2¹⁰ = 105485130769 is a prime.

It is a super-3 number, since 3×105485131793³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (105485131799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52742565896 + 52742565897.

It is an arithmetic number, because the mean of its divisors is an integer number (52742565897).

Almost surely, 2^105485131793 is an apocalyptic number.

It is an amenable number.

105485131793 is a deficient number, since it is larger than the sum of its proper divisors (1).

105485131793 is an equidigital number, since it uses as much as digits as its factorization.

105485131793 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 453600, while the sum is 47.

The spelling of 105485131793 in words is "one hundred five billion, four hundred eighty-five million, one hundred thirty-one thousand, seven hundred ninety-three".