105655418929 has 2 divisors, whose sum is σ = 105655418930. Its totient is φ = 105655418928.

The previous prime is 105655418851. The next prime is 105655418969. The reversal of 105655418929 is 929814556501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77581746225 + 28073672704 = 278535^2 + 167552^2 .

It is a cyclic number.

It is not a de Polignac number, because 105655418929 - 2⁷ = 105655418801 is a prime.

It is a super-2 number, since 2×105655418929² (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 105655418929.

It is not a weakly prime, because it can be changed into another prime (105655418969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52827709464 + 52827709465.

It is an arithmetic number, because the mean of its divisors is an integer number (52827709465).

Almost surely, 2^105655418929 is an apocalyptic number.

It is an amenable number.

105655418929 is a deficient number, since it is larger than the sum of its proper divisors (1).

105655418929 is an equidigital number, since it uses as much as digits as its factorization.

105655418929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888000, while the sum is 55.

The spelling of 105655418929 in words is "one hundred five billion, six hundred fifty-five million, four hundred eighteen thousand, nine hundred twenty-nine".