130105000 has 40 divisors (see below), whose sum is σ = 304847730. Its totient is φ = 52040000.

The previous prime is 130104979. The next prime is 130105007. The reversal of 130105000 is 501031.

It can be written as a sum of positive squares in 5 ways, for example, as 23561316 + 106543684 = 4854^2 + 10322^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×130105000² = 33854622050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (130105007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8011 + ... + 18010.

Almost surely, 2^130105000 is an apocalyptic number.

130105000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130105000 is an abundant number, since it is smaller than the sum of its proper divisors (174742730).

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

130105000 is an equidigital number, since it uses as much as digits as its factorization.

130105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26047 (or 26028 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 130105000 is about 11406.3578762022. The cubic root of 130105000 is about 506.7160520498.

Adding to 130105000 its reverse (501031), we get a palindrome (130606031).

The spelling of 130105000 in words is "one hundred thirty million, one hundred five thousand".