10114411105524 has 384 divisors, whose sum is σ = 27874827509760. Its totient is φ = 2824193433600.

The previous prime is 10114411105441. The next prime is 10114411105531. The reversal of 10114411105524 is 42550111441101.

10114411105524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10114411105491 and 10114411105500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1715176144 + ... + 1715182040.

It is an arithmetic number, because the mean of its divisors is an integer number (72590696640).

Almost surely, 2^{10114411105524} 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 10114411105524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13937413754880).

10114411105524 is an abundant number, since it is smaller than the sum of its proper divisors (17760416404236).

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

10114411105524 is a wasteful number, since it uses less digits than its factorization.

10114411105524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6191 (or 6189 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

Adding to 10114411105524 its reverse (42550111441101), we get a palindrome (52664522546625).

The spelling of 10114411105524 in words is "ten trillion, one hundred fourteen billion, four hundred eleven million, one hundred five thousand, five hundred twenty-four".