103054433081600 has 1296 divisors, whose sum is σ = 348514611970560. Its totient is φ = 29354434560000.

The previous prime is 103054433081599. The next prime is 103054433081741. The reversal of 103054433081600 is 6180334450301.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7117503161 + ... + 7117517639.

Almost surely, 2^{103054433081600} is an apocalyptic number.

103054433081600 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 103054433081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174257305985280).

103054433081600 is an abundant number, since it is smaller than the sum of its proper divisors (245460178888960).

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

103054433081600 is a wasteful number, since it uses less digits than its factorization.

103054433081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14648 (or 14618 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 103054433081600 in words is "one hundred three trillion, fifty-four billion, four hundred thirty-three million, eighty-one thousand, six hundred".