105612977 has 2 divisors, whose sum is σ = 105612978. Its totient is φ = 105612976.

The previous prime is 105612961. The next prime is 105612979. The reversal of 105612977 is 779216501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99181681 + 6431296 = 9959^2 + 2536^2 .

It is a cyclic number.

It is not a de Polignac number, because 105612977 - 2⁴ = 105612961 is a prime.

It is a super-2 number, since 2×105612977² = 22308201821605058, which contains 22 as substring.

Together with 105612979, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105612977.

It is not a weakly prime, because it can be changed into another prime (105612979) 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, 52806488 + 52806489.

It is an arithmetic number, because the mean of its divisors is an integer number (52806489).

Almost surely, 2^105612977 is an apocalyptic number.

It is an amenable number.

105612977 is a deficient number, since it is larger than the sum of its proper divisors (1).

105612977 is an equidigital number, since it uses as much as digits as its factorization.

105612977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26460, while the sum is 38.

The square root of 105612977 is about 10276.8174548349. The cubic root of 105612977 is about 472.6856611066.

The spelling of 105612977 in words is "one hundred five million, six hundred twelve thousand, nine hundred seventy-seven".