104144120520 has 512 divisors, whose sum is σ = 369998254080. Its totient is φ = 23192801280.

The previous prime is 104144120489. The next prime is 104144120527. The reversal of 104144120520 is 25021441401.

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 (104144120527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93235002 + ... + 93236118.

It is an arithmetic number, because the mean of its divisors is an integer number (722652840).

Almost surely, 2^104144120520 is an apocalyptic number.

104144120520 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 104144120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184999127040).

104144120520 is an abundant number, since it is smaller than the sum of its proper divisors (265854133560).

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

104144120520 is a wasteful number, since it uses less digits than its factorization.

104144120520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 104144120520 its reverse (25021441401), we get a palindrome (129165561921).

The spelling of 104144120520 in words is "one hundred four billion, one hundred forty-four million, one hundred twenty thousand, five hundred twenty".