105115284 has 36 divisors (see below), whose sum is σ = 281339604. Its totient is φ = 32977152.

The previous prime is 105115279. The next prime is 105115321. The reversal of 105115284 is 482511501.

It can be written as a sum of positive squares in 2 ways, for example, as 96471684 + 8643600 = 9822^2 + 2940^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105115284² = 22098445860801312, 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 11 ways as a sum of consecutive naturals, for example, 85267 + ... + 86490.

It is an arithmetic number, because the mean of its divisors is an integer number (7814989).

Almost surely, 2^105115284 is an apocalyptic number.

It is an amenable number.

105115284 is an abundant number, since it is smaller than the sum of its proper divisors (176224320).

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

105115284 is a wasteful number, since it uses less digits than its factorization.

105115284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171784 (or 171779 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 105115284 is about 10252.5745059473. The cubic root of 105115284 is about 471.9419934940.

Adding to 105115284 its reverse (482511501), we get a palindrome (587626785).

The spelling of 105115284 in words is "one hundred five million, one hundred fifteen thousand, two hundred eighty-four".