10210816 has 120 divisors (see below), whose sum is σ = 26589816. Its totient is φ = 3870720.

The previous prime is 10210807. The next prime is 10210817. The reversal of 10210816 is 61801201.

It is a junction number, because it is equal to n+sod(n) for n = 10210793 and 10210802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275950 + ... + 275986.

Almost surely, 2^10210816 is an apocalyptic number.

10210816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13294908).

10210816 is an abundant number, since it is smaller than the sum of its proper divisors (16379000).

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

10210816 is an equidigital number, since it uses as much as digits as its factorization.

10210816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 10210816 is about 3195.4367463619. The cubic root of 10210816 is about 216.9469172969.

It can be divided in two parts, 10210 and 816, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 10210816 in words is "ten million, two hundred ten thousand, eight hundred sixteen".