100085826 has 8 divisors (see below), whose sum is σ = 200171664. Its totient is φ = 33361940.

The previous prime is 100085813. The next prime is 100085827. The reversal of 100085826 is 628580001.

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

100085826 is an admirable number.

It is a super-2 number, since 2×100085826² = 20034345132204552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100085793 and 100085802.

It is not an unprimeable number, because it can be changed into a prime (100085827) 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, 8340480 + ... + 8340491.

It is an arithmetic number, because the mean of its divisors is an integer number (25021458).

Almost surely, 2^100085826 is an apocalyptic number.

100085826 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100085826 is a wasteful number, since it uses less digits than its factorization.

100085826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16680976.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 100085826 is about 10004.2903796321. The cubic root of 100085826 is about 464.2916350578.

The spelling of 100085826 in words is "one hundred million, eighty-five thousand, eight hundred twenty-six".