105284928 has 252 divisors, whose sum is σ = 353031552. Its totient is φ = 27578880.

The previous prime is 105284917. The next prime is 105284929. The reversal of 105284928 is 829482501.

It is a super-2 number, since 2×105284928² = 22169832127930368, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105284929) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3396273 + ... + 3396303.

Almost surely, 2^105284928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105284928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176515776).

105284928 is an abundant number, since it is smaller than the sum of its proper divisors (247746624).

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

105284928 is a wasteful number, since it uses less digits than its factorization.

105284928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 105284928 is about 10260.8444096965. The cubic root of 105284928 is about 472.1957437661.

The spelling of 105284928 in words is "one hundred five million, two hundred eighty-four thousand, nine hundred twenty-eight".