105973001 has 2 divisors, whose sum is σ = 105973002. Its totient is φ = 105973000.

The previous prime is 105972913. The next prime is 105973031. The reversal of 105973001 is 100379501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94575625 + 11397376 = 9725^2 + 3376^2 .

It is a cyclic number.

It is not a de Polignac number, because 105973001 - 2¹⁰ = 105971977 is a prime.

It is a super-2 number, since 2×105973001² = 22460553881892002, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105973031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52986500 + 52986501.

It is an arithmetic number, because the mean of its divisors is an integer number (52986501).

Almost surely, 2^105973001 is an apocalyptic number.

It is an amenable number.

105973001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105973001 is an equidigital number, since it uses as much as digits as its factorization.

105973001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945, while the sum is 26.

The square root of 105973001 is about 10294.3188701341. The cubic root of 105973001 is about 473.2221645403. Note that the first 3 decimals are identical.

The spelling of 105973001 in words is "one hundred five million, nine hundred seventy-three thousand, one".