105913680149 has 2 divisors, whose sum is σ = 105913680150. Its totient is φ = 105913680148.

The previous prime is 105913680113. The next prime is 105913680193. The reversal of 105913680149 is 941086319501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77733343249 + 28180336900 = 278807^2 + 167870^2 .

It is an emirp because it is prime and its reverse (941086319501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105913680149 - 2²⁸ = 105645244693 is a prime.

It is a super-2 number, since 2×105913680149² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105913680949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52956840074 + 52956840075.

It is an arithmetic number, because the mean of its divisors is an integer number (52956840075).

Almost surely, 2^105913680149 is an apocalyptic number.

It is an amenable number.

105913680149 is a deficient number, since it is larger than the sum of its proper divisors (1).

105913680149 is an equidigital number, since it uses as much as digits as its factorization.

105913680149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 47.

The spelling of 105913680149 in words is "one hundred five billion, nine hundred thirteen million, six hundred eighty thousand, one hundred forty-nine".