100085993 has 8 divisors (see below), whose sum is σ = 115951488. Its totient is φ = 84612384.

The previous prime is 100085957. The next prime is 100086001. The reversal of 100085993 is 399580001.

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 100085993 - 2¹⁶ = 100020457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100085693) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97421 + ... + 98442.

It is an arithmetic number, because the mean of its divisors is an integer number (14493936).

Almost surely, 2^100085993 is an apocalyptic number.

It is an amenable number.

100085993 is a deficient number, since it is larger than the sum of its proper divisors (15865495).

100085993 is an equidigital number, since it uses as much as digits as its factorization.

100085993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195943.

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 100085993 is about 10004.2987260477. The cubic root of 100085993 is about 464.2918932917.

The spelling of 100085993 in words is "one hundred million, eighty-five thousand, nine hundred ninety-three".