10104140144 has 80 divisors (see below), whose sum is σ = 22646407680. Its totient is φ = 4277733120.

The previous prime is 10104140141. The next prime is 10104140177. The reversal of 10104140144 is 44104140101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104140141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6240167 + ... + 6241785.

It is an arithmetic number, because the mean of its divisors is an integer number (283080096).

Almost surely, 2^10104140144 is an apocalyptic number.

10104140144 is a gapful number since it is divisible by the number (14) 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 10104140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11323203840).

10104140144 is an abundant number, since it is smaller than the sum of its proper divisors (12542267536).

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

10104140144 is a wasteful number, since it uses less digits than its factorization.

10104140144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10104140144 its reverse (44104140101), we get a palindrome (54208280245).

The spelling of 10104140144 in words is "ten billion, one hundred four million, one hundred forty thousand, one hundred forty-four".