105625001 has 2 divisors, whose sum is σ = 105625002. Its totient is φ = 105625000.

The previous prime is 105624991. The next prime is 105625007. The reversal of 105625001 is 100526501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103225600 + 2399401 = 10160^2 + 1549^2 .

It is a cyclic number.

It is not a de Polignac number, because 105625001 - 2¹⁰ = 105623977 is a prime.

It is a super-2 number, since 2×105625001² = 22313281672500002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105625007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52812500 + 52812501.

It is an arithmetic number, because the mean of its divisors is an integer number (52812501).

Almost surely, 2^105625001 is an apocalyptic number.

It is an amenable number.

105625001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105625001 is an equidigital number, since it uses as much as digits as its factorization.

105625001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 105625001 is about 10277.4024441977. The cubic root of 105625001 is about 472.7035987909.

The spelling of 105625001 in words is "one hundred five million, six hundred twenty-five thousand, one".