105240977 has 2 divisors, whose sum is σ = 105240978. Its totient is φ = 105240976.

The previous prime is 105240937. The next prime is 105240979. The reversal of 105240977 is 779042501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89567296 + 15673681 = 9464^2 + 3959^2 .

It is an emirp because it is prime and its reverse (779042501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105240977 - 2¹⁸ = 104978833 is a prime.

It is a super-2 number, since 2×105240977² = 22151326479829058, which contains 22 as substring.

Together with 105240979, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105240979) 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, 52620488 + 52620489.

It is an arithmetic number, because the mean of its divisors is an integer number (52620489).

Almost surely, 2^105240977 is an apocalyptic number.

It is an amenable number.

105240977 is a deficient number, since it is larger than the sum of its proper divisors (1).

105240977 is an equidigital number, since it uses as much as digits as its factorization.

105240977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 105240977 is about 10258.7025008039. The cubic root of 105240977 is about 472.1300288722.

The spelling of 105240977 in words is "one hundred five million, two hundred forty thousand, nine hundred seventy-seven".