103351362432000 has 352 divisors, whose sum is σ = 348627527898624. Its totient is φ = 27172182016000.

The previous prime is 103351362431953. The next prime is 103351362432113. The reversal of 103351362432000 is 234263153301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25368619 + ... + 29159381.

Almost surely, 2^{103351362432000} is an apocalyptic number.

103351362432000 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 103351362432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174313763949312).

103351362432000 is an abundant number, since it is smaller than the sum of its proper divisors (245276165466624).

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

103351362432000 is an equidigital number, since it uses as much as digits as its factorization.

103351362432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790872 (or 3790844 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 103351362432000 in words is "one hundred three trillion, three hundred fifty-one billion, three hundred sixty-two million, four hundred thirty-two thousand".