106824080 has 80 divisors (see below), whose sum is σ = 285249600. Its totient is φ = 36794880.

The previous prime is 106824077. The next prime is 106824089. The reversal of 106824080 is 80428601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106824080² = 22822768135692800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106824089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13526 + ... + 19914.

It is an arithmetic number, because the mean of its divisors is an integer number (3565620).

Almost surely, 2^106824080 is an apocalyptic number.

106824080 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 106824080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142624800).

106824080 is an abundant number, since it is smaller than the sum of its proper divisors (178425520).

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

106824080 is a wasteful number, since it uses less digits than its factorization.

106824080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6432 (or 6426 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 106824080 is about 10335.5735206132. The cubic root of 106824080 is about 474.4856186119.

The spelling of 106824080 in words is "one hundred six million, eight hundred twenty-four thousand, eighty".