100625448961 has 2 divisors, whose sum is σ = 100625448962. Its totient is φ = 100625448960.

The previous prime is 100625448947. The next prime is 100625449007. The reversal of 100625448961 is 169844526001.

It is a happy number.

It is an a-pointer prime, because the next prime (100625449007) can be obtained adding 100625448961 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50521103361 + 50104345600 = 224769^2 + 223840^2 .

It is a cyclic number.

It is not a de Polignac number, because 100625448961 - 2⁹ = 100625448449 is a prime.

It is not a weakly prime, because it can be changed into another prime (100625448941) 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, 50312724480 + 50312724481.

It is an arithmetic number, because the mean of its divisors is an integer number (50312724481).

Almost surely, 2^100625448961 is an apocalyptic number.

It is an amenable number.

100625448961 is a deficient number, since it is larger than the sum of its proper divisors (1).

100625448961 is an equidigital number, since it uses as much as digits as its factorization.

100625448961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 100625448961 in words is "one hundred billion, six hundred twenty-five million, four hundred forty-eight thousand, nine hundred sixty-one".