1305105564 has 48 divisors (see below), whose sum is σ = 3484083456. Its totient is φ = 372480000.

The previous prime is 1305105559. The next prime is 1305105569. The reversal of 1305105564 is 4655015031.

It is an interprime number because it is at equal distance from previous prime (1305105559) and next prime (1305105569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305105569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73564 + ... + 89564.

It is an arithmetic number, because the mean of its divisors is an integer number (72585072).

Almost surely, 2^1305105564 is an apocalyptic number.

1305105564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1305105564 is an abundant number, since it is smaller than the sum of its proper divisors (2178977892).

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

1305105564 is a wasteful number, since it uses less digits than its factorization.

1305105564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16986 (or 16984 counting only the distinct ones).

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

The square root of 1305105564 is about 36126.2448090028. The cubic root of 1305105564 is about 1092.8197798422.

The spelling of 1305105564 in words is "one billion, three hundred five million, one hundred five thousand, five hundred sixty-four".