106828800 has 264 divisors, whose sum is σ = 383787936. Its totient is φ = 26050560.

The previous prime is 106828741. The next prime is 106828817. The reversal of 106828800 is 8828601.

It is a super-2 number, since 2×106828800² = 22824785018880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998347 + ... + 998453.

Almost surely, 2^106828800 is an apocalyptic number.

106828800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191893968).

106828800 is an abundant number, since it is smaller than the sum of its proper divisors (276959136).

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

106828800 is a wasteful number, since it uses less digits than its factorization.

106828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 106828800 is about 10335.8018556859. The cubic root of 106828800 is about 474.4926068587.

The spelling of 106828800 in words is "one hundred six million, eight hundred twenty-eight thousand, eight hundred".