105956077 has 2 divisors, whose sum is σ = 105956078. Its totient is φ = 105956076.

The previous prime is 105956041. The next prime is 105956093. The reversal of 105956077 is 770659501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93431556 + 12524521 = 9666^2 + 3539^2 .

It is an emirp because it is prime and its reverse (770659501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105956077 - 2²³ = 97567469 is a prime.

It is a super-2 number, since 2×105956077² = 22453380506459858, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105950077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52978038 + 52978039.

It is an arithmetic number, because the mean of its divisors is an integer number (52978039).

Almost surely, 2^105956077 is an apocalyptic number.

It is an amenable number.

105956077 is a deficient number, since it is larger than the sum of its proper divisors (1).

105956077 is an equidigital number, since it uses as much as digits as its factorization.

105956077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 66150, while the sum is 40.

The square root of 105956077 is about 10293.4968305236. The cubic root of 105956077 is about 473.1969718396.

The spelling of 105956077 in words is "one hundred five million, nine hundred fifty-six thousand, seventy-seven".