104015413000 has 128 divisors (see below), whose sum is σ = 246073651200. Its totient is φ = 41150592000.

The previous prime is 104015412947. The next prime is 104015413009. The reversal of 104015413000 is 314510401.

It is a super-2 number, since 2×104015413000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104015413009) 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 31 ways as a sum of consecutive naturals, for example, 48131920 + ... + 48134080.

It is an arithmetic number, because the mean of its divisors is an integer number (1922450400).

Almost surely, 2^104015413000 is an apocalyptic number.

104015413000 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 104015413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123036825600).

104015413000 is an abundant number, since it is smaller than the sum of its proper divisors (142058238200).

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

104015413000 is a wasteful number, since it uses less digits than its factorization.

104015413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 104015413000 its reverse (314510401), we get a palindrome (104329923401).

The spelling of 104015413000 in words is "one hundred four billion, fifteen million, four hundred thirteen thousand".