100085785 has 8 divisors (see below), whose sum is σ = 120382920. Its totient is φ = 79881984.

The previous prime is 100085759. The next prime is 100085801. The reversal of 100085785 is 587580001.

It can be written as a sum of positive squares in 4 ways, for example, as 21603904 + 78481881 = 4648^2 + 8859^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100085785 - 2⁵ = 100085753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100085785.

It is an unprimeable number.

It is a Zeisel number, with parameters (107, -102).

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20950 + ... + 25279.

It is an arithmetic number, because the mean of its divisors is an integer number (15047865).

Almost surely, 2^100085785 is an apocalyptic number.

It is an amenable number.

100085785 is a deficient number, since it is larger than the sum of its proper divisors (20297135).

100085785 is an equidigital number, since it uses as much as digits as its factorization.

100085785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46667.

The product of its (nonzero) digits is 11200, while the sum is 34.

The square root of 100085785 is about 10004.2883305111. The cubic root of 100085785 is about 464.2915716590.

The spelling of 100085785 in words is "one hundred million, eighty-five thousand, seven hundred eighty-five".