10085016 has 64 divisors (see below), whose sum is σ = 26621280. Its totient is φ = 3179520.

The previous prime is 10084967. The next prime is 10085027. The reversal of 10085016 is 61058001.

It is a junction number, because it is equal to n+sod(n) for n = 10084983 and 10085001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36270 + ... + 36546.

Almost surely, 2^10085016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10085016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13310640).

10085016 is an abundant number, since it is smaller than the sum of its proper divisors (16536264).

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

10085016 is a wasteful number, since it uses less digits than its factorization.

10085016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 10085016 is about 3175.6914207775. The cubic root of 10085016 is about 216.0522850109.

The spelling of 10085016 in words is "ten million, eighty-five thousand, sixteen".