10103012400 has 240 divisors, whose sum is σ = 34950263040. Its totient is φ = 2479948800.

The previous prime is 10103012389. The next prime is 10103012449. The reversal of 10103012400 is 421030101.

It is a happy number.

10103012400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7658941 + ... + 7660259.

It is an arithmetic number, because the mean of its divisors is an integer number (145626096).

Almost surely, 2^10103012400 is an apocalyptic number.

10103012400 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 10103012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17475131520).

10103012400 is an abundant number, since it is smaller than the sum of its proper divisors (24847250640).

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

10103012400 is a wasteful number, since it uses less digits than its factorization.

10103012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10103012400 its reverse (421030101), we get a palindrome (10524042501).

The spelling of 10103012400 in words is "ten billion, one hundred three million, twelve thousand, four hundred".