10114310400 has 216 divisors, whose sum is σ = 33471399360. Its totient is φ = 2689720320.

The previous prime is 10114310383. The next prime is 10114310407. The reversal of 10114310400 is 401341101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10114310400.

It is not an unprimeable number, because it can be changed into a prime (10114310407) 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, 13612429 + ... + 13613171.

Almost surely, 2^10114310400 is an apocalyptic number.

10114310400 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 10114310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735699680).

10114310400 is an abundant number, since it is smaller than the sum of its proper divisors (23357088960).

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

10114310400 is an equidigital number, since it uses as much as digits as its factorization.

10114310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10114310400 its reverse (401341101), we get a palindrome (10515651501).

The spelling of 10114310400 in words is "ten billion, one hundred fourteen million, three hundred ten thousand, four hundred".