105130300 has 72 divisors (see below), whose sum is σ = 256983552. Its totient is φ = 36984000.

The previous prime is 105130247. The next prime is 105130301. The reversal of 105130300 is 3031501.

It is a super-2 number, since 2×105130300² = 22104759956180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105130301) 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 23 ways as a sum of consecutive naturals, for example, 32559 + ... + 35641.

It is an arithmetic number, because the mean of its divisors is an integer number (3569216).

Almost surely, 2^105130300 is an apocalyptic number.

105130300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128491776).

105130300 is an abundant number, since it is smaller than the sum of its proper divisors (151853252).

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

105130300 is a wasteful number, since it uses less digits than its factorization.

105130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 105130300 is about 10253.3067836674. The cubic root of 105130300 is about 471.9644651501.

Adding to 105130300 its reverse (3031501), we get a palindrome (108161801).

The spelling of 105130300 in words is "one hundred five million, one hundred thirty thousand, three hundred".