100085801 has 2 divisors, whose sum is σ = 100085802. Its totient is φ = 100085800.

The previous prime is 100085759. The next prime is 100085807. The reversal of 100085801 is 108580001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95570176 + 4515625 = 9776^2 + 2125^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100085801 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100085807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50042900 + 50042901.

It is an arithmetic number, because the mean of its divisors is an integer number (50042901).

Almost surely, 2^100085801 is an apocalyptic number.

It is an amenable number.

100085801 is a deficient number, since it is larger than the sum of its proper divisors (1).

100085801 is an equidigital number, since it uses as much as digits as its factorization.

100085801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 100085801 is about 10004.2891301681. The cubic root of 100085801 is about 464.2915964000.

The spelling of 100085801 in words is "one hundred million, eighty-five thousand, eight hundred one".