103644334080 has 480 divisors, whose sum is σ = 424587683520. Its totient is φ = 23688806400.

The previous prime is 103644333983. The next prime is 103644334091. The reversal of 103644334080 is 80433446301.

It is a happy number.

103644334080 is a `hidden beast` number, since 1 + 0 + 3 + 644 + 3 + 3 + 4 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 5797155 + ... + 5815005.

It is an arithmetic number, because the mean of its divisors is an integer number (884557674).

Almost surely, 2^103644334080 is an apocalyptic number.

103644334080 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 103644334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212293841760).

103644334080 is an abundant number, since it is smaller than the sum of its proper divisors (320943349440).

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

103644334080 is an equidigital number, since it uses as much as digits as its factorization.

103644334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17897 (or 17868 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 103644334080 in words is "one hundred three billion, six hundred forty-four million, three hundred thirty-four thousand, eighty".