106284420 has 192 divisors, whose sum is σ = 373766400. Its totient is φ = 24837120.

The previous prime is 106284389. The next prime is 106284427. The reversal of 106284420 is 24482601.

106284420 is a `hidden beast` number, since 10 + 628 + 4 + 4 + 20 = 666.

It is a super-2 number, since 2×106284420² = 22592755869472800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106284427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171952 + ... + 172568.

It is an arithmetic number, because the mean of its divisors is an integer number (1946700).

Almost surely, 2^106284420 is an apocalyptic number.

106284420 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 106284420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186883200).

106284420 is an abundant number, since it is smaller than the sum of its proper divisors (267481980).

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

106284420 is a wasteful number, since it uses less digits than its factorization.

106284420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 106284420 is about 10309.4335440896. The cubic root of 106284420 is about 473.6852581263.

The spelling of 106284420 in words is "one hundred six million, two hundred eighty-four thousand, four hundred twenty".