106828956 has 90 divisors (see below), whose sum is σ = 302561952. Its totient is φ = 32853600.

The previous prime is 106828949. The next prime is 106828987. The reversal of 106828956 is 659828601.

It is a super-2 number, since 2×106828956² = 22824851680099872, which contains 22 as substring.

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 53781 + ... + 55731.

Almost surely, 2^106828956 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 106828956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151280976).

106828956 is an abundant number, since it is smaller than the sum of its proper divisors (195732996).

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

106828956 is a wasteful number, since it uses less digits than its factorization.

106828956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 106828956 is about 10335.8094022674. The cubic root of 106828956 is about 474.4928378227.

The spelling of 106828956 in words is "one hundred six million, eight hundred twenty-eight thousand, nine hundred fifty-six".