100085111 has 8 divisors (see below), whose sum is σ = 117474720. Its totient is φ = 83468448.

The previous prime is 100085101. The next prime is 100085207. The reversal of 100085111 is 111580001.

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

It is not a de Polignac number, because 100085111 - 2⁶ = 100085047 is a prime.

It is a super-4 number, since 4×100085111⁴ (a number of 33 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100085111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100085101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192956 + ... + 193473.

It is an arithmetic number, because the mean of its divisors is an integer number (14684340).

Almost surely, 2^100085111 is an apocalyptic number.

100085111 is a deficient number, since it is larger than the sum of its proper divisors (17389609).

100085111 is an equidigital number, since it uses as much as digits as its factorization.

100085111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386473.

The product of its (nonzero) digits is 40, while the sum is 17.

The square root of 100085111 is about 10004.2546448998. The cubic root of 100085111 is about 464.2905294423.

The spelling of 100085111 in words is "one hundred million, eighty-five thousand, one hundred eleven".