105135564 has 12 divisors (see below), whose sum is σ = 245316344. Its totient is φ = 35045184.

The previous prime is 105135533. The next prime is 105135619. The reversal of 105135564 is 465531501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105135564² = 22106973635196192, 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, 4380637 + ... + 4380660.

Almost surely, 2^105135564 is an apocalyptic number.

It is an amenable number.

105135564 is an abundant number, since it is smaller than the sum of its proper divisors (140180780).

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

105135564 is a wasteful number, since it uses less digits than its factorization.

105135564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8761304 (or 8761302 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 105135564 is about 10253.5634781280. The cubic root of 105135564 is about 471.9723422940.

The spelling of 105135564 in words is "one hundred five million, one hundred thirty-five thousand, five hundred sixty-four".