104259389760 has 280 divisors, whose sum is σ = 392686473960. Its totient is φ = 26166951936.

The previous prime is 104259389747. The next prime is 104259389761. The reversal of 104259389760 is 67983952401.

104259389760 is a `hidden beast` number, since 1 + 0 + 4 + 259 + 389 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24029960256 + 80229429504 = 155016^2 + 283248^2 .

It is a super-3 number, since 3×104259389760³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 104259389697 and 104259389706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104259389761) 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 39 ways as a sum of consecutive naturals, for example, 322336 + ... + 558944.

It is a 1-persistent number, because it is pandigital, but 2⋅104259389760 = 208518779520 is not.

Almost surely, 2^104259389760 is an apocalyptic number.

104259389760 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 104259389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196343236980).

104259389760 is an abundant number, since it is smaller than the sum of its proper divisors (288427084200).

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

104259389760 is a wasteful number, since it uses less digits than its factorization.

104259389760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236655 (or 236636 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 104259389760 in words is "one hundred four billion, two hundred fifty-nine million, three hundred eighty-nine thousand, seven hundred sixty".