10206112 has 72 divisors (see below), whose sum is σ = 24476256. Its totient is φ = 4169088.

The previous prime is 10206107. The next prime is 10206121. The reversal of 10206112 is 21160201.

It is a junction number, because it is equal to n+sod(n) for n = 10206092 and 10206101.

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 11 ways as a sum of consecutive naturals, for example, 35923 + ... + 36205.

It is an arithmetic number, because the mean of its divisors is an integer number (339948).

Almost surely, 2^10206112 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 10206112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12238128).

10206112 is an abundant number, since it is smaller than the sum of its proper divisors (14270144).

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

10206112 is a wasteful number, since it uses less digits than its factorization.

10206112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 10206112 is about 3194.7006119510. The cubic root of 10206112 is about 216.9135972353.

Adding to 10206112 its reverse (21160201), we get a palindrome (31366313).

The spelling of 10206112 in words is "ten million, two hundred six thousand, one hundred twelve".