10130344400 has 120 divisors (see below), whose sum is σ = 26601464064. Its totient is φ = 3676723200.

The previous prime is 10130344391. The next prime is 10130344403. The reversal of 10130344400 is 444303101.

It is a happy number.

It is a super-2 number, since 2×10130344400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130344403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2668904 + ... + 2672696.

Almost surely, 2^10130344400 is an apocalyptic number.

10130344400 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 10130344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13300732032).

10130344400 is an abundant number, since it is smaller than the sum of its proper divisors (16471119664).

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

10130344400 is a wasteful number, since it uses less digits than its factorization.

10130344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10130344400 its reverse (444303101), we get a palindrome (10574647501).

The spelling of 10130344400 in words is "ten billion, one hundred thirty million, three hundred forty-four thousand, four hundred".