105898564 has 12 divisors (see below), whose sum is σ = 185400684. Its totient is φ = 52926944.

The previous prime is 105898547. The next prime is 105898577. The reversal of 105898564 is 465898501.

It can be written as a sum of positive squares in 2 ways, for example, as 94284100 + 11614464 = 9710^2 + 3408^2 .

It is a super-2 number, since 2×105898564² = 22429011714524192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9774 + ... + 17530.

It is an arithmetic number, because the mean of its divisors is an integer number (15450057).

Almost surely, 2^105898564 is an apocalyptic number.

It is an amenable number.

105898564 is a deficient number, since it is larger than the sum of its proper divisors (79502120).

105898564 is a wasteful number, since it uses less digits than its factorization.

105898564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11174 (or 11172 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The square root of 105898564 is about 10290.7027942702. The cubic root of 105898564 is about 473.1113391769. Note that the first 3 decimals are identical.

The spelling of 105898564 in words is "one hundred five million, eight hundred ninety-eight thousand, five hundred sixty-four".