103660368000 has 512 divisors, whose sum is σ = 400203348480. Its totient is φ = 23242752000.

The previous prime is 103660367981. The next prime is 103660368011. The reversal of 103660368000 is 863066301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17805090 + ... + 17810910.

It is an arithmetic number, because the mean of its divisors is an integer number (781647165).

Almost surely, 2^103660368000 is an apocalyptic number.

103660368000 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 103660368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200101674240).

103660368000 is an abundant number, since it is smaller than the sum of its proper divisors (296542980480).

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

103660368000 is an equidigital number, since it uses as much as digits as its factorization.

103660368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5913 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 103660368000 in words is "one hundred three billion, six hundred sixty million, three hundred sixty-eight thousand".