10110345104400 has 480 divisors, whose sum is σ = 33352573632000. Its totient is φ = 2617045770240.

The previous prime is 10110345104323. The next prime is 10110345104401. The reversal of 10110345104400 is 440154301101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10110345104401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2889493851 + ... + 2889497349.

It is an arithmetic number, because the mean of its divisors is an integer number (69484528400).

Almost surely, 2^{10110345104400} is an apocalyptic number.

10110345104400 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 10110345104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16676286816000).

10110345104400 is an abundant number, since it is smaller than the sum of its proper divisors (23242228527600).

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

10110345104400 is a wasteful number, since it uses less digits than its factorization.

10110345104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 10110345104400 its reverse (440154301101), we get a palindrome (10550499405501).

The spelling of 10110345104400 in words is "ten trillion, one hundred ten billion, three hundred forty-five million, one hundred four thousand, four hundred".