105213377 has 2 divisors, whose sum is σ = 105213378. Its totient is φ = 105213376.

The previous prime is 105213359. The next prime is 105213419. The reversal of 105213377 is 773312501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70627216 + 34586161 = 8404^2 + 5881^2 .

It is a cyclic number.

It is not a de Polignac number, because 105213377 - 2⁶ = 105213313 is a prime.

It is a super-2 number, since 2×105213377² = 22139709399488258, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105213347) 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, 52606688 + 52606689.

It is an arithmetic number, because the mean of its divisors is an integer number (52606689).

Almost surely, 2^105213377 is an apocalyptic number.

It is an amenable number.

105213377 is a deficient number, since it is larger than the sum of its proper divisors (1).

105213377 is an equidigital number, since it uses as much as digits as its factorization.

105213377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 105213377 is about 10257.3572132397. The cubic root of 105213377 is about 472.0887524022.

Adding to 105213377 its reverse (773312501), we get a palindrome (878525878).

The spelling of 105213377 in words is "one hundred five million, two hundred thirteen thousand, three hundred seventy-seven".