105877897 has 2 divisors, whose sum is σ = 105877898. Its totient is φ = 105877896.

The previous prime is 105877879. The next prime is 105877907. The reversal of 105877897 is 798778501.

Together with previous prime (105877879) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104632441 + 1245456 = 10229^2 + 1116^2 .

It is an emirp because it is prime and its reverse (798778501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105877897 - 2¹¹ = 105875849 is a prime.

It is a super-2 number, since 2×105877897² = 22420258146285218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105877697) 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, 52938948 + 52938949.

It is an arithmetic number, because the mean of its divisors is an integer number (52938949).

Almost surely, 2^105877897 is an apocalyptic number.

It is an amenable number.

105877897 is a deficient number, since it is larger than the sum of its proper divisors (1).

105877897 is an equidigital number, since it uses as much as digits as its factorization.

105877897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 987840, while the sum is 52.

The square root of 105877897 is about 10289.6985864504. The cubic root of 105877897 is about 473.0805599487.

The spelling of 105877897 in words is "one hundred five million, eight hundred seventy-seven thousand, eight hundred ninety-seven".