106420 has 24 divisors (see below), whose sum is σ = 237384. Its totient is φ = 39936.

The previous prime is 106417. The next prime is 106427. The reversal of 106420 is 24601.

106420 = T₉₃ + T₉₄ + ... + T₁₁₂.

It can be written as a sum of positive squares in 4 ways, for example, as 1444 + 104976 = 38^2 + 324^2 .

It is a super-2 number, since 2×106420² = 22650432800, 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 106420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184 + ... + 496.

It is an arithmetic number, because the mean of its divisors is an integer number (9891).

2¹⁰⁶⁴²⁰ is an apocalyptic number.

106420 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 106420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118692).

106420 is an abundant number, since it is smaller than the sum of its proper divisors (130964).

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

106420 is a wasteful number, since it uses less digits than its factorization.

106420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 106420 is about 326.2207841325. The cubic root of 106420 is about 47.3886588853.

The spelling of 106420 in words is "one hundred six thousand, four hundred twenty".