10405103544224 has 96 divisors (see below), whose sum is σ = 21233603575296. Its totient is φ = 5015873443840.

The previous prime is 10405103544167. The next prime is 10405103544287. The reversal of 10405103544224 is 42244530150401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127352474 + ... + 127434150.

It is an arithmetic number, because the mean of its divisors is an integer number (221183370576).

Almost surely, 2^{10405103544224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10405103544224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10616801787648).

10405103544224 is an abundant number, since it is smaller than the sum of its proper divisors (10828500031072).

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

10405103544224 is a wasteful number, since it uses less digits than its factorization.

10405103544224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82998 (or 82990 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 10405103544224 its reverse (42244530150401), we get a palindrome (52649633694625).

The spelling of 10405103544224 in words is "ten trillion, four hundred five billion, one hundred three million, five hundred forty-four thousand, two hundred twenty-four".