100624563649 has 2 divisors, whose sum is σ = 100624563650. Its totient is φ = 100624563648.

The previous prime is 100624563617. The next prime is 100624563659. The reversal of 100624563649 is 946365426001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81992313649 + 18632250000 = 286343^2 + 136500^2 .

It is a cyclic number.

It is not a de Polignac number, because 100624563649 - 2⁵ = 100624563617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100624563599 and 100624563608.

It is not a weakly prime, because it can be changed into another prime (100624563659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50312281824 + 50312281825.

It is an arithmetic number, because the mean of its divisors is an integer number (50312281825).

Almost surely, 2^100624563649 is an apocalyptic number.

It is an amenable number.

100624563649 is a deficient number, since it is larger than the sum of its proper divisors (1).

100624563649 is an equidigital number, since it uses as much as digits as its factorization.

100624563649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 100624563649 in words is "one hundred billion, six hundred twenty-four million, five hundred sixty-three thousand, six hundred forty-nine".