105977053807 has 2 divisors, whose sum is σ = 105977053808. Its totient is φ = 105977053806.

The previous prime is 105977053781. The next prime is 105977053873. The reversal of 105977053807 is 708350779501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105977053807 is a prime.

It is a super-2 number, since 2×105977053807² (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 (105977053207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52988526903 + 52988526904.

It is an arithmetic number, because the mean of its divisors is an integer number (52988526904).

Almost surely, 2^105977053807 is an apocalyptic number.

105977053807 is a deficient number, since it is larger than the sum of its proper divisors (1).

105977053807 is an equidigital number, since it uses as much as digits as its factorization.

105977053807 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 52.

The spelling of 105977053807 in words is "one hundred five billion, nine hundred seventy-seven million, fifty-three thousand, eight hundred seven".