100584973 has 2 divisors, whose sum is σ = 100584974. Its totient is φ = 100584972.

The previous prime is 100584943. The next prime is 100585087. The reversal of 100584973 is 379485001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70257924 + 30327049 = 8382^2 + 5507^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100584973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100584923) 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, 50292486 + 50292487.

It is an arithmetic number, because the mean of its divisors is an integer number (50292487).

Almost surely, 2^100584973 is an apocalyptic number.

It is an amenable number.

100584973 is a deficient number, since it is larger than the sum of its proper divisors (1).

100584973 is an equidigital number, since it uses as much as digits as its factorization.

100584973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 100584973 is about 10029.2060004768. The cubic root of 100584973 is about 465.0621923214.

The spelling of 100584973 in words is "one hundred million, five hundred eighty-four thousand, nine hundred seventy-three".