106806420 has 288 divisors, whose sum is σ = 398361600. Its totient is φ = 22643712.

The previous prime is 106806379. The next prime is 106806443. The reversal of 106806420 is 24608601.

106806420 is a `hidden beast` number, since 10 + 6 + 8 + 0 + 642 + 0 = 666.

106806420 is a nontrivial binomial coefficient, being equal to C(14616, 2).

It is a super-2 number, since 2×106806420² = 22815222706432800, 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 95 ways as a sum of consecutive naturals, for example, 1351941 + ... + 1352019.

It is an arithmetic number, because the mean of its divisors is an integer number (1383200).

Almost surely, 2^106806420 is an apocalyptic number.

106806420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106806420 is the 14615-th triangular number and also the 7308-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106806420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199180800).

106806420 is an abundant number, since it is smaller than the sum of its proper divisors (291555180).

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

106806420 is a wasteful number, since it uses less digits than its factorization.

106806420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106806420 is about 10334.7191543844. The cubic root of 106806420 is about 474.4594700823.

The spelling of 106806420 in words is "one hundred six million, eight hundred six thousand, four hundred twenty".