103191350890777 has 2 divisors, whose sum is σ = 103191350890778. Its totient is φ = 103191350890776.

The previous prime is 103191350890769. The next prime is 103191350890781. The reversal of 103191350890777 is 777098053191301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88778060128521 + 14413290762256 = 9422211^2 + 3796484^2 .

It is a cyclic number.

It is not a de Polignac number, because 103191350890777 - 2³ = 103191350890769 is a prime.

It is not a weakly prime, because it can be changed into another prime (103191350590777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51595675445388 + 51595675445389.

It is an arithmetic number, because the mean of its divisors is an integer number (51595675445389).

Almost surely, 2^{103191350890777} is an apocalyptic number.

It is an amenable number.

103191350890777 is a deficient number, since it is larger than the sum of its proper divisors (1).

103191350890777 is an equidigital number, since it uses as much as digits as its factorization.

103191350890777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10001880, while the sum is 61.

The spelling of 103191350890777 in words is "one hundred three trillion, one hundred ninety-one billion, three hundred fifty million, eight hundred ninety thousand, seven hundred seventy-seven".