105135319307 has 2 divisors, whose sum is σ = 105135319308. Its totient is φ = 105135319306.

The previous prime is 105135319271. The next prime is 105135319339. The reversal of 105135319307 is 703913531501.

It is a strong prime.

It is an emirp because it is prime and its reverse (703913531501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105135319307 - 2¹⁰ = 105135318283 is a prime.

It is a super-2 number, since 2×105135319307² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105135319907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52567659653 + 52567659654.

It is an arithmetic number, because the mean of its divisors is an integer number (52567659654).

Almost surely, 2^105135319307 is an apocalyptic number.

105135319307 is a deficient number, since it is larger than the sum of its proper divisors (1).

105135319307 is an equidigital number, since it uses as much as digits as its factorization.

105135319307 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42525, while the sum is 38.

The spelling of 105135319307 in words is "one hundred five billion, one hundred thirty-five million, three hundred nineteen thousand, three hundred seven".