105977053781 has 2 divisors, whose sum is σ = 105977053782. Its totient is φ = 105977053780.

The previous prime is 105977053753. The next prime is 105977053807. The reversal of 105977053781 is 187350779501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87517755556 + 18459298225 = 295834^2 + 135865^2 .

It is a cyclic number.

It is not a de Polignac number, because 105977053781 - 2¹⁸ = 105976791637 is a prime.

It is a super-2 number, since 2×105977053781² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105977053081) 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, 52988526890 + 52988526891.

It is an arithmetic number, because the mean of its divisors is an integer number (52988526891).

Almost surely, 2^105977053781 is an apocalyptic number.

It is an amenable number.

105977053781 is a deficient number, since it is larger than the sum of its proper divisors (1).

105977053781 is an equidigital number, since it uses as much as digits as its factorization.

105977053781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1852200, while the sum is 53.

The spelling of 105977053781 in words is "one hundred five billion, nine hundred seventy-seven million, fifty-three thousand, seven hundred eighty-one".