103680844800 has 528 divisors, whose sum is σ = 372700728960. Its totient is φ = 25268060160.

The previous prime is 103680844789. The next prime is 103680844871. The reversal of 103680844800 is 8448086301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112818741 + ... + 112819659.

Almost surely, 2^103680844800 is an apocalyptic number.

103680844800 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 103680844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186350364480).

103680844800 is an abundant number, since it is smaller than the sum of its proper divisors (269019884160).

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

103680844800 is a wasteful number, since it uses less digits than its factorization.

103680844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 103680844800 in words is "one hundred three billion, six hundred eighty million, eight hundred forty-four thousand, eight hundred".