10130800 has 120 divisors (see below), whose sum is σ = 27061760. Its totient is φ = 3628800.

The previous prime is 10130779. The next prime is 10130821. The reversal of 10130800 is 803101.

It is an interprime number because it is at equal distance from previous prime (10130779) and next prime (10130821).

It is a congruent number.

It is an unprimeable number.

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, 235579 + ... + 235621.

Almost surely, 2^10130800 is an apocalyptic number.

10130800 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 10130800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13530880).

10130800 is an abundant number, since it is smaller than the sum of its proper divisors (16930960).

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

10130800 is a wasteful number, since it uses less digits than its factorization.

10130800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 10130800 is about 3182.8917669314. The cubic root of 10130800 is about 216.3787365374.

Adding to 10130800 its reverse (803101), we get a palindrome (10933901).

The spelling of 10130800 in words is "ten million, one hundred thirty thousand, eight hundred".