968100085 has 32 divisors (see below), whose sum is σ = 1234732032. Its totient is φ = 727626240.

The previous prime is 968100083. The next prime is 968100097. The reversal of 968100085 is 580001869.

968100085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 968100085 - 2¹ = 968100083 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968100083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757467 + ... + 758743.

It is an arithmetic number, because the mean of its divisors is an integer number (38585376).

Almost surely, 2^968100085 is an apocalyptic number.

It is an amenable number.

968100085 is a deficient number, since it is larger than the sum of its proper divisors (266631947).

968100085 is a wasteful number, since it uses less digits than its factorization.

968100085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453.

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 968100085 is about 31114.3067575031. The cubic root of 968100085 is about 989.2515803923.

The spelling of 968100085 in words is "nine hundred sixty-eight million, one hundred thousand, eighty-five".