104349445560 has 320 divisors, whose sum is σ = 375208938720. Its totient is φ = 25918341120.

The previous prime is 104349445559. The next prime is 104349445561. The reversal of 104349445560 is 65544943401.

104349445560 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 4 + 94 + 4 + 556 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104349445559) and next prime (104349445561).

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 (104349445561) 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 79 ways as a sum of consecutive naturals, for example, 5332995 + ... + 5352525.

Almost surely, 2^104349445560 is an apocalyptic number.

104349445560 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 104349445560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187604469360).

104349445560 is an abundant number, since it is smaller than the sum of its proper divisors (270859493160).

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

104349445560 is a wasteful number, since it uses less digits than its factorization.

104349445560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19668 (or 19655 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 104349445560 in words is "one hundred four billion, three hundred forty-nine million, four hundred forty-five thousand, five hundred sixty".