105567001 has 2 divisors, whose sum is σ = 105567002. Its totient is φ = 105567000.

The previous prime is 105566971. The next prime is 105567019. The reversal of 105567001 is 100765501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98010000 + 7557001 = 9900^2 + 2749^2 .

It is a cyclic number.

It is not a de Polignac number, because 105567001 - 2¹³ = 105558809 is a prime.

It is a super-2 number, since 2×105567001² = 22288783400268002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105567061) 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, 52783500 + 52783501.

It is an arithmetic number, because the mean of its divisors is an integer number (52783501).

Almost surely, 2^105567001 is an apocalyptic number.

It is an amenable number.

105567001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105567001 is an equidigital number, since it uses as much as digits as its factorization.

105567001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 105567001 is about 10274.5803320622. The cubic root of 105567001 is about 472.6170604767.

The spelling of 105567001 in words is "one hundred five million, five hundred sixty-seven thousand, one".