10016820 has 72 divisors (see below), whose sum is σ = 33153120. Its totient is φ = 2427840.

The previous prime is 10016801. The next prime is 10016837. The reversal of 10016820 is 2861001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10016793 and 10016802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 550 + ... + 4509.

It is an arithmetic number, because the mean of its divisors is an integer number (460460).

Almost surely, 2^10016820 is an apocalyptic number.

10016820 is a gapful number since it is divisible by the number (10) 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 10016820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16576560).

10016820 is an abundant number, since it is smaller than the sum of its proper divisors (23136300).

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

10016820 is a wasteful number, since it uses less digits than its factorization.

10016820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10016820 is about 3164.9360183106. The cubic root of 10016820 is about 215.5641933140.

Adding to 10016820 its reverse (2861001), we get a palindrome (12877821).

The spelling of 10016820 in words is "ten million, sixteen thousand, eight hundred twenty".