105084420 has 144 divisors (see below), whose sum is σ = 353622528. Its totient is φ = 23224320.

The previous prime is 105084407. The next prime is 105084431. The reversal of 105084420 is 24480501.

It is a super-2 number, since 2×105084420² = 22085470653472800, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 90564 + ... + 91716.

It is an arithmetic number, because the mean of its divisors is an integer number (2455712).

Almost surely, 2^105084420 is an apocalyptic number.

105084420 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 105084420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176811264).

105084420 is an abundant number, since it is smaller than the sum of its proper divisors (248538108).

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

105084420 is a wasteful number, since it uses less digits than its factorization.

105084420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1201 counting only the distinct ones).

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

The square root of 105084420 is about 10251.0692125261. The cubic root of 105084420 is about 471.8957983611.

The spelling of 105084420 in words is "one hundred five million, eighty-four thousand, four hundred twenty".