105977053753 has 2 divisors, whose sum is σ = 105977053754. Its totient is φ = 105977053752.

The previous prime is 105977053739. The next prime is 105977053781. The reversal of 105977053753 is 357350779501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94954573609 + 11022480144 = 308147^2 + 104988^2 .

It is an emirp because it is prime and its reverse (357350779501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105977053753 is a prime.

It is a super-2 number, since 2×105977053753² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105977053753.

It is not a weakly prime, because it can be changed into another prime (105977053723) 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, 52988526876 + 52988526877.

It is an arithmetic number, because the mean of its divisors is an integer number (52988526877).

Almost surely, 2^105977053753 is an apocalyptic number.

It is an amenable number.

105977053753 is a deficient number, since it is larger than the sum of its proper divisors (1).

105977053753 is an equidigital number, since it uses as much as digits as its factorization.

105977053753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3472875, while the sum is 52.

The spelling of 105977053753 in words is "one hundred five billion, nine hundred seventy-seven million, fifty-three thousand, seven hundred fifty-three".