100085793 has 4 divisors (see below), whose sum is σ = 133447728. Its totient is φ = 66723860.

The previous prime is 100085759. The next prime is 100085801. The reversal of 100085793 is 397580001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100085793 - 2⁶ = 100085729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100085723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16680963 + ... + 16680968.

It is an arithmetic number, because the mean of its divisors is an integer number (33361932).

Almost surely, 2^100085793 is an apocalyptic number.

It is an amenable number.

100085793 is a deficient number, since it is larger than the sum of its proper divisors (33361935).

100085793 is an equidigital number, since it uses as much as digits as its factorization.

100085793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33361934.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 100085793 is about 10004.2887303396. The cubic root of 100085793 is about 464.2915840295.

The spelling of 100085793 in words is "one hundred million, eighty-five thousand, seven hundred ninety-three".