104080379760 has 640 divisors, whose sum is σ = 439257600000. Its totient is φ = 22385922048.

The previous prime is 104080379717. The next prime is 104080379761. The reversal of 104080379760 is 67973080401.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104080379761) 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 127 ways as a sum of consecutive naturals, for example, 20817741 + ... + 20822739.

It is an arithmetic number, because the mean of its divisors is an integer number (686340000).

Almost surely, 2^104080379760 is an apocalyptic number.

104080379760 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 104080379760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219628800000).

104080379760 is an abundant number, since it is smaller than the sum of its proper divisors (335177220240).

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

104080379760 is an equidigital number, since it uses as much as digits as its factorization.

104080379760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 104080379760 in words is "one hundred four billion, eighty million, three hundred seventy-nine thousand, seven hundred sixty".