104505315920 has 90 divisors (see below), whose sum is σ = 248577778062. Its totient is φ = 40859516928.

The previous prime is 104505315911. The next prime is 104505315923. The reversal of 104505315920 is 29513505401.

It can be written as a sum of positive squares in 3 ways, for example, as 4631619136 + 99873696784 = 68056^2 + 316028^2 .

It is a super-2 number, since 2×104505315920² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104505315923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 135897296 + ... + 135898064.

Almost surely, 2^104505315920 is an apocalyptic number.

104505315920 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 104505315920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124288889031).

104505315920 is an abundant number, since it is smaller than the sum of its proper divisors (144072462142).

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

104505315920 is an frugal number, since it uses more digits than its factorization.

104505315920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 104505315920 in words is "one hundred four billion, five hundred five million, three hundred fifteen thousand, nine hundred twenty".