106305377 has 2 divisors, whose sum is σ = 106305378. Its totient is φ = 106305376.

The previous prime is 106305319. The next prime is 106305383. The reversal of 106305377 is 773503601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105042001 + 1263376 = 10249^2 + 1124^2 .

It is a cyclic number.

It is not a de Polignac number, because 106305377 - 2⁶ = 106305313 is a prime.

It is a super-2 number, since 2×106305377² = 22601666358224258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106305317) 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, 53152688 + 53152689.

It is an arithmetic number, because the mean of its divisors is an integer number (53152689).

Almost surely, 2^106305377 is an apocalyptic number.

It is an amenable number.

106305377 is a deficient number, since it is larger than the sum of its proper divisors (1).

106305377 is an equidigital number, since it uses as much as digits as its factorization.

106305377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13230, while the sum is 32.

The square root of 106305377 is about 10310.4498931909. The cubic root of 106305377 is about 473.7163895928.

Adding to 106305377 its reverse (773503601), we get a palindrome (879808978).

The spelling of 106305377 in words is "one hundred six million, three hundred five thousand, three hundred seventy-seven".