100579632449 has 2 divisors, whose sum is σ = 100579632450. Its totient is φ = 100579632448.

The previous prime is 100579632443. The next prime is 100579632451. The reversal of 100579632449 is 944236975001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74977392400 + 25602240049 = 273820^2 + 160007^2 .

It is a cyclic number.

It is not a de Polignac number, because 100579632449 - 2⁸ = 100579632193 is a prime.

Together with 100579632451, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100579632397 and 100579632406.

It is not a weakly prime, because it can be changed into another prime (100579632443) 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, 50289816224 + 50289816225.

It is an arithmetic number, because the mean of its divisors is an integer number (50289816225).

Almost surely, 2^100579632449 is an apocalyptic number.

It is an amenable number.

100579632449 is a deficient number, since it is larger than the sum of its proper divisors (1).

100579632449 is an equidigital number, since it uses as much as digits as its factorization.

100579632449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 100579632449 in words is "one hundred billion, five hundred seventy-nine million, six hundred thirty-two thousand, four hundred forty-nine".