105381678977 has 2 divisors, whose sum is σ = 105381678978. Its totient is φ = 105381678976.

The previous prime is 105381678959. The next prime is 105381679033. The reversal of 105381678977 is 779876183501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103425916801 + 1955762176 = 321599^2 + 44224^2 .

It is an emirp because it is prime and its reverse (779876183501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105381678977 - 2²⁶ = 105314570113 is a prime.

It is a super-2 number, since 2×105381678977² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105381638977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52690839488 + 52690839489.

It is an arithmetic number, because the mean of its divisors is an integer number (52690839489).

Almost surely, 2^105381678977 is an apocalyptic number.

It is an amenable number.

105381678977 is a deficient number, since it is larger than the sum of its proper divisors (1).

105381678977 is an equidigital number, since it uses as much as digits as its factorization.

105381678977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17781120, while the sum is 62.

The spelling of 105381678977 in words is "one hundred five billion, three hundred eighty-one million, six hundred seventy-eight thousand, nine hundred seventy-seven".