10111240144 has 80 divisors (see below), whose sum is σ = 21139057728. Its totient is φ = 4667959296.

The previous prime is 10111240103. The next prime is 10111240159. The reversal of 10111240144 is 44104211101.

10111240144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5047047 + ... + 5049049.

Almost surely, 2^10111240144 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 10111240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569528864).

10111240144 is an abundant number, since it is smaller than the sum of its proper divisors (11027817584).

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

10111240144 is a wasteful number, since it uses less digits than its factorization.

10111240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10111240144 its reverse (44104211101), we get a palindrome (54215451245).

The spelling of 10111240144 in words is "ten billion, one hundred eleven million, two hundred forty thousand, one hundred forty-four".