10502016 has 64 divisors (see below), whose sum is σ = 31889280. Its totient is φ = 2999808.

The previous prime is 10501993. The next prime is 10502047. The reversal of 10502016 is 61020501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10502016² = 220584680128512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10501986 and 10502004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 735 + ... + 4641.

It is an arithmetic number, because the mean of its divisors is an integer number (498270).

Almost surely, 2^10502016 is an apocalyptic number.

10502016 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 10502016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944640).

10502016 is an abundant number, since it is smaller than the sum of its proper divisors (21387264).

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

10502016 is an equidigital number, since it uses as much as digits as its factorization.

10502016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 10502016 is about 3240.6814098273. The cubic root of 10502016 is about 218.9899705588.

Adding to 10502016 its reverse (61020501), we get a palindrome (71522517).

The spelling of 10502016 in words is "ten million, five hundred two thousand, sixteen".