10103030400 has 192 divisors, whose sum is σ = 33363400320. Its totient is φ = 2687139840.

The previous prime is 10103030383. The next prime is 10103030459. The reversal of 10103030400 is 403030101.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4443664 + ... + 4445936.

It is an arithmetic number, because the mean of its divisors is an integer number (173767710).

Almost surely, 2^10103030400 is an apocalyptic number.

10103030400 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 10103030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16681700160).

10103030400 is an abundant number, since it is smaller than the sum of its proper divisors (23260369920).

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

10103030400 is a wasteful number, since it uses less digits than its factorization.

10103030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10103030400 its reverse (403030101), we get a palindrome (10506060501).

The spelling of 10103030400 in words is "ten billion, one hundred three million, thirty thousand, four hundred".