105319046277829 has 2 divisors, whose sum is σ = 105319046277830. Its totient is φ = 105319046277828.

The previous prime is 105319046277779. The next prime is 105319046277853. The reversal of 105319046277829 is 928772640913501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72322948404100 + 32996097873729 = 8504290^2 + 5744223^2 .

It is an emirp because it is prime and its reverse (928772640913501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105319046277829 is a prime.

It is a super-2 number, since 2×105319046277829² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105319046277889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52659523138914 + 52659523138915.

It is an arithmetic number, because the mean of its divisors is an integer number (52659523138915).

It is a 1-persistent number, because it is pandigital, but 2⋅105319046277829 = 210638092555658 is not.

Almost surely, 2^{105319046277829} is an apocalyptic number.

It is an amenable number.

105319046277829 is a deficient number, since it is larger than the sum of its proper divisors (1).

105319046277829 is an equidigital number, since it uses as much as digits as its factorization.

105319046277829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45722880, while the sum is 64.

The spelling of 105319046277829 in words is "one hundred five trillion, three hundred nineteen billion, forty-six million, two hundred seventy-seven thousand, eight hundred twenty-nine".