100656001 has 2 divisors, whose sum is σ = 100656002. Its totient is φ = 100656000.

The previous prime is 100655969. The next prime is 100656007.

100656001 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98903025 + 1752976 = 9945^2 + 1324^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 100656001 - 2⁵ = 100655969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100656001.

It is not a weakly prime, because it can be changed into another prime (100656007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50328000 + 50328001.

It is an arithmetic number, because the mean of its divisors is an integer number (50328001).

Almost surely, 2^100656001 is an apocalyptic number.

It is an amenable number.

100656001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100656001 is an equidigital number, since it uses as much as digits as its factorization.

100656001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 100656001 is about 10032.7464335545. The cubic root of 100656001 is about 465.1716343324.

The spelling of 100656001 in words is "one hundred million, six hundred fifty-six thousand, one".