103099085618369 has 2 divisors, whose sum is σ = 103099085618370. Its totient is φ = 103099085618368.

The previous prime is 103099085618363. The next prime is 103099085618371. The reversal of 103099085618369 is 963816580990301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97875406240000 + 5223679378369 = 9893200^2 + 2285537^2 .

It is a cyclic number.

It is not a de Polignac number, because 103099085618369 - 2¹⁶ = 103099085552833 is a prime.

It is a super-2 number, since 2×103099085618369² (a number of 29 digits) contains 22 as substring.

Together with 103099085618371, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 103099085618299 and 103099085618308.

It is not a weakly prime, because it can be changed into another prime (103099085618363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51549542809184 + 51549542809185.

It is an arithmetic number, because the mean of its divisors is an integer number (51549542809185).

Almost surely, 2^{103099085618369} is an apocalyptic number.

It is an amenable number.

103099085618369 is a deficient number, since it is larger than the sum of its proper divisors (1).

103099085618369 is an equidigital number, since it uses as much as digits as its factorization.

103099085618369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75582720, while the sum is 68.

The spelling of 103099085618369 in words is "one hundred three trillion, ninety-nine billion, eighty-five million, six hundred eighteen thousand, three hundred sixty-nine".