104300251440 has 720 divisors, whose sum is σ = 424480331520. Its totient is φ = 20948659200.

The previous prime is 104300251421. The next prime is 104300251459. The reversal of 104300251440 is 44152003401.

It is an interprime number because it is at equal distance from previous prime (104300251421) and next prime (104300251459).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104300251440.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124314541 + ... + 124315379.

It is an arithmetic number, because the mean of its divisors is an integer number (589556016).

Almost surely, 2^104300251440 is an apocalyptic number.

104300251440 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 104300251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212240165760).

104300251440 is an abundant number, since it is smaller than the sum of its proper divisors (320180080080).

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

104300251440 is a wasteful number, since it uses less digits than its factorization.

104300251440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 104300251440 its reverse (44152003401), we get a palindrome (148452254841).

The spelling of 104300251440 in words is "one hundred four billion, three hundred million, two hundred fifty-one thousand, four hundred forty".