105282420 has 48 divisors (see below), whose sum is σ = 310309440. Its totient is φ = 26597376.

The previous prime is 105282413. The next prime is 105282449. The reversal of 105282420 is 24282501.

It is a super-2 number, since 2×105282420² = 22168775922112800, 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 15 ways as a sum of consecutive naturals, for example, 45037 + ... + 47316.

It is an arithmetic number, because the mean of its divisors is an integer number (6464780).

Almost surely, 2^105282420 is an apocalyptic number.

105282420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105282420 is an abundant number, since it is smaller than the sum of its proper divisors (205027020).

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

105282420 is a wasteful number, since it uses less digits than its factorization.

105282420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92384 (or 92382 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 105282420 is about 10260.7221968047. The cubic root of 105282420 is about 472.1919943332.

The spelling of 105282420 in words is "one hundred five million, two hundred eighty-two thousand, four hundred twenty".