103949443584 has 1080 divisors, whose sum is σ = 390968257680. Its totient is φ = 27479015424.

The previous prime is 103949443553. The next prime is 103949443607. The reversal of 103949443584 is 485344949301.

103949443584 is a `hidden beast` number, since 1 + 0 + 39 + 494 + 43 + 5 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103949443584.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1761854947 + ... + 1761855005.

It is an arithmetic number, because the mean of its divisors is an integer number (362007646).

Almost surely, 2^103949443584 is an apocalyptic number.

103949443584 is a gapful number since it is divisible by the number (14) 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 103949443584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195484128840).

103949443584 is an abundant number, since it is smaller than the sum of its proper divisors (287018814096).

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

103949443584 is an frugal number, since it uses more digits than its factorization.

103949443584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 103949443584 in words is "one hundred three billion, nine hundred forty-nine million, four hundred forty-three thousand, five hundred eighty-four".