10217106 has 72 divisors (see below), whose sum is σ = 24586380. Its totient is φ = 3060288.

The previous prime is 10217087. The next prime is 10217131. The reversal of 10217106 is 60171201.

It can be written as a sum of positive squares in 2 ways, for example, as 9641025 + 576081 = 3105^2 + 759^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 276120 + ... + 276156.

Almost surely, 2^10217106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10217106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12293190).

10217106 is an abundant number, since it is smaller than the sum of its proper divisors (14369274).

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

10217106 is a wasteful number, since it uses less digits than its factorization.

10217106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10217106 is about 3196.4208108445. The cubic root of 10217106 is about 216.9914555591.

Adding to 10217106 its reverse (60171201), we get a palindrome (70388307).

The spelling of 10217106 in words is "ten million, two hundred seventeen thousand, one hundred six".