105325761131 has 2 divisors, whose sum is σ = 105325761132. Its totient is φ = 105325761130.

The previous prime is 105325761097. The next prime is 105325761139. The reversal of 105325761131 is 131167523501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105325761131 - 2¹⁰ = 105325760107 is a prime.

It is a super-2 number, since 2×105325761131² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105325761091 and 105325761100.

It is not a weakly prime, because it can be changed into another prime (105325761139) 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, 52662880565 + 52662880566.

It is an arithmetic number, because the mean of its divisors is an integer number (52662880566).

Almost surely, 2^105325761131 is an apocalyptic number.

105325761131 is a deficient number, since it is larger than the sum of its proper divisors (1).

105325761131 is an equidigital number, since it uses as much as digits as its factorization.

105325761131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18900, while the sum is 35.

The spelling of 105325761131 in words is "one hundred five billion, three hundred twenty-five million, seven hundred sixty-one thousand, one hundred thirty-one".