105201740117 has 2 divisors, whose sum is σ = 105201740118. Its totient is φ = 105201740116.

The previous prime is 105201740093. The next prime is 105201740183. The reversal of 105201740117 is 711047102501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96223419601 + 8978320516 = 310199^2 + 94754^2 .

It is a cyclic number.

It is not a de Polignac number, because 105201740117 - 2¹⁶ = 105201674581 is a prime.

It is a super-2 number, since 2×105201740117² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105201740117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105201740197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52600870058 + 52600870059.

It is an arithmetic number, because the mean of its divisors is an integer number (52600870059).

Almost surely, 2^105201740117 is an apocalyptic number.

It is an amenable number.

105201740117 is a deficient number, since it is larger than the sum of its proper divisors (1).

105201740117 is an equidigital number, since it uses as much as digits as its factorization.

105201740117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1960, while the sum is 29.

Adding to 105201740117 its reverse (711047102501), we get a palindrome (816248842618).

The spelling of 105201740117 in words is "one hundred five billion, two hundred one million, seven hundred forty thousand, one hundred seventeen".