104105011520 has 112 divisors (see below), whose sum is σ = 255165715728. Its totient is φ = 40426536960.

The previous prime is 104105011471. The next prime is 104105011523. The reversal of 104105011520 is 25110501401.

It can be written as a sum of positive squares in 8 ways, for example, as 7488479296 + 96616532224 = 86536^2 + 310832^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 104105011492 and 104105011501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104105011523) 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, 5448704 + ... + 5467776.

It is an arithmetic number, because the mean of its divisors is an integer number (2278265319).

Almost surely, 2^104105011520 is an apocalyptic number.

104105011520 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 104105011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127582857864).

104105011520 is an abundant number, since it is smaller than the sum of its proper divisors (151060704208).

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

104105011520 is a wasteful number, since it uses less digits than its factorization.

104105011520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19588 (or 19578 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 104105011520 its reverse (25110501401), we get a palindrome (129215512921).

The spelling of 104105011520 in words is "one hundred four billion, one hundred five million, eleven thousand, five hundred twenty".