100585605041 has 2 divisors, whose sum is σ = 100585605042. Its totient is φ = 100585605040.

The previous prime is 100585605037. The next prime is 100585605067. The reversal of 100585605041 is 140506585001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66665174416 + 33920430625 = 258196^2 + 184175^2 .

It is a cyclic number.

It is not a de Polignac number, because 100585605041 - 2² = 100585605037 is a prime.

It is a super-2 number, since 2×100585605041² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100585604992 and 100585605010.

It is not a weakly prime, because it can be changed into another prime (100585605091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50292802520 + 50292802521.

It is an arithmetic number, because the mean of its divisors is an integer number (50292802521).

Almost surely, 2^100585605041 is an apocalyptic number.

It is an amenable number.

100585605041 is a deficient number, since it is larger than the sum of its proper divisors (1).

100585605041 is an equidigital number, since it uses as much as digits as its factorization.

100585605041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24000, while the sum is 35.

The spelling of 100585605041 in words is "one hundred billion, five hundred eighty-five million, six hundred five thousand, forty-one".