10211016 has 64 divisors (see below), whose sum is σ = 27993600. Its totient is φ = 3089408.

The previous prime is 10210957. The next prime is 10211027. The reversal of 10211016 is 61011201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10210992 and 10211010.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11401 + ... + 12263.

It is an arithmetic number, because the mean of its divisors is an integer number (437400).

Almost surely, 2^10211016 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 10211016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13996800).

10211016 is an abundant number, since it is smaller than the sum of its proper divisors (17782584).

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

10211016 is a wasteful number, since it uses less digits than its factorization.

10211016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 10211016 is about 3195.4680408353. The cubic root of 10211016 is about 216.9483337394.

Adding to 10211016 its reverse (61011201), we get a palindrome (71222217).

The spelling of 10211016 in words is "ten million, two hundred eleven thousand, sixteen".