100006472641 has 2 divisors, whose sum is σ = 100006472642. Its totient is φ = 100006472640.

The previous prime is 100006472639. The next prime is 100006472647. The reversal of 100006472641 is 146274600001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92489582641 + 7516890000 = 304121^2 + 86700^2 .

It is a cyclic number.

It is not a de Polignac number, because 100006472641 - 2¹ = 100006472639 is a prime.

Together with 100006472639, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100006472647) 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, 50003236320 + 50003236321.

It is an arithmetic number, because the mean of its divisors is an integer number (50003236321).

Almost surely, 2^100006472641 is an apocalyptic number.

It is an amenable number.

100006472641 is a deficient number, since it is larger than the sum of its proper divisors (1).

100006472641 is an equidigital number, since it uses as much as digits as its factorization.

100006472641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 100006472641 in words is "one hundred billion, six million, four hundred seventy-two thousand, six hundred forty-one".