10202016 has 48 divisors (see below), whose sum is σ = 29217888. Its totient is φ = 3091200.

The previous prime is 10202009. The next prime is 10202021. The reversal of 10202016 is 61020201.

10202016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10202016² = 208162260928512, which contains 22 as substring.

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 = 10201992 and 10202010.

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, 3775 + ... + 5886.

It is an arithmetic number, because the mean of its divisors is an integer number (608706).

Almost surely, 2^10202016 is an apocalyptic number.

10202016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10202016 is an abundant number, since it is smaller than the sum of its proper divisors (19015872).

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

10202016 is a wasteful number, since it uses less digits than its factorization.

10202016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9685 (or 9677 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10202016 is about 3194.0594859833. The cubic root of 10202016 is about 216.8845755087.

Adding to 10202016 its reverse (61020201), we get a palindrome (71222217).

The spelling of 10202016 in words is "ten million, two hundred two thousand, sixteen".