106917828 has 48 divisors (see below), whose sum is σ = 265011264. Its totient is φ = 33433600.

The previous prime is 106917803. The next prime is 106917829. The reversal of 106917828 is 828719601.

It is a super-2 number, since 2×106917828² = 22862843888475168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106917828.

It is not an unprimeable number, because it can be changed into a prime (106917829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81151 + ... + 82457.

It is an arithmetic number, because the mean of its divisors is an integer number (5521068).

Almost surely, 2^106917828 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 106917828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132505632).

106917828 is an abundant number, since it is smaller than the sum of its proper divisors (158093436).

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

106917828 is a wasteful number, since it uses less digits than its factorization.

106917828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 106917828 is about 10340.1077363826. The cubic root of 106917828 is about 474.6243796844.

The spelling of 106917828 in words is "one hundred six million, nine hundred seventeen thousand, eight hundred twenty-eight".