105004284 has 72 divisors (see below), whose sum is σ = 307810944. Its totient is φ = 27271200.

The previous prime is 105004267. The next prime is 105004303. The reversal of 105004284 is 482400501.

It is a super-2 number, since 2×105004284² = 22051799316705312, 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 23 ways as a sum of consecutive naturals, for example, 4999 + ... + 15329.

It is an arithmetic number, because the mean of its divisors is an integer number (4275152).

Almost surely, 2^105004284 is an apocalyptic number.

105004284 is a gapful number since it is divisible by the number (14) 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 105004284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153905472).

105004284 is an abundant number, since it is smaller than the sum of its proper divisors (202806660).

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

105004284 is a wasteful number, since it uses less digits than its factorization.

105004284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10367 (or 10354 counting only the distinct ones).

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

The square root of 105004284 is about 10247.1598016231. The cubic root of 105004284 is about 471.7758140082.

Adding to 105004284 its reverse (482400501), we get a palindrome (587404785).

The spelling of 105004284 in words is "one hundred five million, four thousand, two hundred eighty-four".