105395890753 has 2 divisors, whose sum is σ = 105395890754. Its totient is φ = 105395890752.

The previous prime is 105395890739. The next prime is 105395890757. The reversal of 105395890753 is 357098593501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92411744049 + 12984146704 = 303993^2 + 113948^2 .

It is a cyclic number.

It is not a de Polignac number, because 105395890753 - 2¹³ = 105395882561 is a prime.

It is a super-3 number, since 3×105395890753³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105395890694 and 105395890703.

It is not a weakly prime, because it can be changed into another prime (105395890757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52697945376 + 52697945377.

It is an arithmetic number, because the mean of its divisors is an integer number (52697945377).

Almost surely, 2^105395890753 is an apocalyptic number.

It is an amenable number.

105395890753 is a deficient number, since it is larger than the sum of its proper divisors (1).

105395890753 is an equidigital number, since it uses as much as digits as its factorization.

105395890753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5103000, while the sum is 55.

The spelling of 105395890753 in words is "one hundred five billion, three hundred ninety-five million, eight hundred ninety thousand, seven hundred fifty-three".