105880125761 has 2 divisors, whose sum is σ = 105880125762. Its totient is φ = 105880125760.

The previous prime is 105880125727. The next prime is 105880125773. The reversal of 105880125761 is 167521088501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100010267536 + 5869858225 = 316244^2 + 76615^2 .

It is a cyclic number.

It is not a de Polignac number, because 105880125761 - 2³⁰ = 104806383937 is a prime.

It is a super-2 number, since 2×105880125761² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105880155761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52940062880 + 52940062881.

It is an arithmetic number, because the mean of its divisors is an integer number (52940062881).

Almost surely, 2^105880125761 is an apocalyptic number.

It is an amenable number.

105880125761 is a deficient number, since it is larger than the sum of its proper divisors (1).

105880125761 is an equidigital number, since it uses as much as digits as its factorization.

105880125761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 134400, while the sum is 44.

The spelling of 105880125761 in words is "one hundred five billion, eight hundred eighty million, one hundred twenty-five thousand, seven hundred sixty-one".