100585801 has 2 divisors, whose sum is σ = 100585802. Its totient is φ = 100585800.

The previous prime is 100585777. The next prime is 100585813. The reversal of 100585801 is 108585001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89794576 + 10791225 = 9476^2 + 3285^2 .

It is a cyclic number.

It is not a de Polignac number, because 100585801 - 2⁷ = 100585673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100585801.

It is not a weakly prime, because it can be changed into another prime (100585871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50292900 + 50292901.

It is an arithmetic number, because the mean of its divisors is an integer number (50292901).

Almost surely, 2^100585801 is an apocalyptic number.

It is an amenable number.

100585801 is a deficient number, since it is larger than the sum of its proper divisors (1).

100585801 is an equidigital number, since it uses as much as digits as its factorization.

100585801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1600, while the sum is 28.

The square root of 100585801 is about 10029.2472798311. The cubic root of 100585801 is about 465.0634684246.

The spelling of 100585801 in words is "one hundred million, five hundred eighty-five thousand, eight hundred one".