105072735367619 has 2 divisors, whose sum is σ = 105072735367620. Its totient is φ = 105072735367618.

The previous prime is 105072735367507. The next prime is 105072735367679. The reversal of 105072735367619 is 916763537270501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105072735367619 is a prime.

It is a super-2 number, since 2×105072735367619² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105072735367679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52536367683809 + 52536367683810.

It is an arithmetic number, because the mean of its divisors is an integer number (52536367683810).

Almost surely, 2^{105072735367619} is an apocalyptic number.

105072735367619 is a deficient number, since it is larger than the sum of its proper divisors (1).

105072735367619 is an equidigital number, since it uses as much as digits as its factorization.

105072735367619 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50009400, while the sum is 62.

The spelling of 105072735367619 in words is "one hundred five trillion, seventy-two billion, seven hundred thirty-five million, three hundred sixty-seven thousand, six hundred nineteen".