130305105 has 56 divisors (see below), whose sum is σ = 267986112. Its totient is φ = 59556384.

The previous prime is 130305079. The next prime is 130305107. The reversal of 130305105 is 501503031.

It is a happy number.

It is not a de Polignac number, because 130305105 - 2⁶ = 130305041 is a prime.

It is a super-2 number, since 2×130305105² = 33958840778122050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130305107) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22962 + ... + 28068.

Almost surely, 2^130305105 is an apocalyptic number.

130305105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130305105 is an abundant number, since it is smaller than the sum of its proper divisors (137681007).

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

130305105 is an frugal number, since it uses more digits than its factorization.

130305105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 130305105 is about 11415.1261491058. The cubic root of 130305105 is about 506.9756999663.

Adding to 130305105 its reverse (501503031), we get a palindrome (631808136).

The spelling of 130305105 in words is "one hundred thirty million, three hundred five thousand, one hundred five".