130105764 has 60 divisors (see below), whose sum is σ = 349346844. Its totient is φ = 42192576.

The previous prime is 130105721. The next prime is 130105769. The reversal of 130105764 is 467501031.

It can be written as a sum of positive squares in 2 ways, for example, as 95883264 + 34222500 = 9792^2 + 5850^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130105769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6562 + ... + 17414.

Almost surely, 2^130105764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130105764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174673422).

130105764 is an abundant number, since it is smaller than the sum of its proper divisors (219241080).

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

130105764 is a wasteful number, since it uses less digits than its factorization.

130105764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10906 (or 10895 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 130105764 is about 11406.3913662473. The cubic root of 130105764 is about 506.7170438906.

Adding to 130105764 its reverse (467501031), we get a palindrome (597606795).

The spelling of 130105764 in words is "one hundred thirty million, one hundred five thousand, seven hundred sixty-four".