105349740701 has 2 divisors, whose sum is σ = 105349740702. Its totient is φ = 105349740700.

The previous prime is 105349740689. The next prime is 105349740763. The reversal of 105349740701 is 107047943501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78638741476 + 26710999225 = 280426^2 + 163435^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105349740701 is a prime.

It is a super-3 number, since 3×105349740701³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105349740901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52674870350 + 52674870351.

It is an arithmetic number, because the mean of its divisors is an integer number (52674870351).

Almost surely, 2^105349740701 is an apocalyptic number.

It is an amenable number.

105349740701 is a deficient number, since it is larger than the sum of its proper divisors (1).

105349740701 is an equidigital number, since it uses as much as digits as its factorization.

105349740701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 105349740701 in words is "one hundred five billion, three hundred forty-nine million, seven hundred forty thousand, seven hundred one".