105300303377 has 2 divisors, whose sum is σ = 105300303378. Its totient is φ = 105300303376.

The previous prime is 105300303343. The next prime is 105300303379. The reversal of 105300303377 is 773303003501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103812195601 + 1488107776 = 322199^2 + 38576^2 .

It is a cyclic number.

It is not a de Polignac number, because 105300303377 - 2¹⁸ = 105300041233 is a prime.

It is a super-2 number, since 2×105300303377² (a number of 23 digits) contains 22 as substring.

Together with 105300303379, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105300303379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52650151688 + 52650151689.

It is an arithmetic number, because the mean of its divisors is an integer number (52650151689).

Almost surely, 2^105300303377 is an apocalyptic number.

It is an amenable number.

105300303377 is a deficient number, since it is larger than the sum of its proper divisors (1).

105300303377 is an equidigital number, since it uses as much as digits as its factorization.

105300303377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19845, while the sum is 32.

Adding to 105300303377 its reverse (773303003501), we get a palindrome (878603306878).

The spelling of 105300303377 in words is "one hundred five billion, three hundred million, three hundred three thousand, three hundred seventy-seven".