105262607 has 2 divisors, whose sum is σ = 105262608. Its totient is φ = 105262606.

The previous prime is 105262579. The next prime is 105262631. The reversal of 105262607 is 706262501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105262607 is a prime.

It is a super-2 number, since 2×105262607² = 22160432864872898, which contains 22 as substring.

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 105262607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105267607) 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, 52631303 + 52631304.

It is an arithmetic number, because the mean of its divisors is an integer number (52631304).

Almost surely, 2^105262607 is an apocalyptic number.

105262607 is a deficient number, since it is larger than the sum of its proper divisors (1).

105262607 is an equidigital number, since it uses as much as digits as its factorization.

105262607 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 105262607 is about 10259.7566735279. The cubic root of 105262607 is about 472.1623720186.

The spelling of 105262607 in words is "one hundred five million, two hundred sixty-two thousand, six hundred seven".