100105606001 has 2 divisors, whose sum is σ = 100105606002. Its totient is φ = 100105606000.

The previous prime is 100105605991. The next prime is 100105606009. The reversal of 100105606001 is 100606501001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97806307600 + 2299298401 = 312740^2 + 47951^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105606001 - 2⁶ = 100105605937 is a prime.

It is a super-2 number, since 2×100105606001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100105606009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052803000 + 50052803001.

It is an arithmetic number, because the mean of its divisors is an integer number (50052803001).

Almost surely, 2^100105606001 is an apocalyptic number.

It is an amenable number.

100105606001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105606001 is an equidigital number, since it uses as much as digits as its factorization.

100105606001 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 20.

The spelling of 100105606001 in words is "one hundred billion, one hundred five million, six hundred six thousand, one".