100085735 has 4 divisors (see below), whose sum is σ = 120102888. Its totient is φ = 80068584.

The previous prime is 100085729. The next prime is 100085743. The reversal of 100085735 is 537580001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100085735 - 2¹⁰ = 100084711 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100085698 and 100085707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10008569 + ... + 10008578.

It is an arithmetic number, because the mean of its divisors is an integer number (30025722).

Almost surely, 2^100085735 is an apocalyptic number.

100085735 is a deficient number, since it is larger than the sum of its proper divisors (20017153).

100085735 is an equidigital number, since it uses as much as digits as its factorization.

100085735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20017152.

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 100085735 is about 10004.2858315824. The cubic root of 100085735 is about 464.2914943434.

The spelling of 100085735 in words is "one hundred million, eighty-five thousand, seven hundred thirty-five".