105526777957 has 2 divisors, whose sum is σ = 105526777958. Its totient is φ = 105526777956.

The previous prime is 105526777943. The next prime is 105526777987. The reversal of 105526777957 is 759777625501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79464227236 + 26062550721 = 281894^2 + 161439^2 .

It is a cyclic number.

It is not a de Polignac number, because 105526777957 - 2²³ = 105518389349 is a prime.

It is a super-2 number, since 2×105526777957² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105526777895 and 105526777904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105526777927) 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, 52763388978 + 52763388979.

It is an arithmetic number, because the mean of its divisors is an integer number (52763388979).

Almost surely, 2^105526777957 is an apocalyptic number.

It is an amenable number.

105526777957 is a deficient number, since it is larger than the sum of its proper divisors (1).

105526777957 is an equidigital number, since it uses as much as digits as its factorization.

105526777957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32413500, while the sum is 61.

The spelling of 105526777957 in words is "one hundred five billion, five hundred twenty-six million, seven hundred seventy-seven thousand, nine hundred fifty-seven".