100585605037 has 2 divisors, whose sum is σ = 100585605038. Its totient is φ = 100585605036.

The previous prime is 100585605019. The next prime is 100585605041. The reversal of 100585605037 is 730506585001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69621571881 + 30964033156 = 263859^2 + 175966^2 .

It is a cyclic number.

It is not a de Polignac number, because 100585605037 - 2⁷ = 100585604909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100585605067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50292802518 + 50292802519.

It is an arithmetic number, because the mean of its divisors is an integer number (50292802519).

Almost surely, 2^100585605037 is an apocalyptic number.

It is an amenable number.

100585605037 is a deficient number, since it is larger than the sum of its proper divisors (1).

100585605037 is an equidigital number, since it uses as much as digits as its factorization.

100585605037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 100585605037 in words is "one hundred billion, five hundred eighty-five million, six hundred five thousand, thirty-seven".