10112104400 has 120 divisors (see below), whose sum is σ = 24939103200. Its totient is φ = 3938803200.

The previous prime is 10112104391. The next prime is 10112104423. The reversal of 10112104400 is 440121101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2570435 + ... + 2574365.

It is an arithmetic number, because the mean of its divisors is an integer number (207825860).

Almost surely, 2^10112104400 is an apocalyptic number.

10112104400 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 10112104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12469551600).

10112104400 is an abundant number, since it is smaller than the sum of its proper divisors (14826998800).

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

10112104400 is a wasteful number, since it uses less digits than its factorization.

10112104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10112104400 its reverse (440121101), we get a palindrome (10552225501).

The spelling of 10112104400 in words is "ten billion, one hundred twelve million, one hundred four thousand, four hundred".