103830288000 has 1024 divisors, whose sum is σ = 396170611200. Its totient is φ = 23887872000.

The previous prime is 103830287989. The next prime is 103830288041. The reversal of 103830288000 is 882038301.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 573647910 + ... + 573648090.

Almost surely, 2^103830288000 is an apocalyptic number.

103830288000 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 103830288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198085305600).

103830288000 is an abundant number, since it is smaller than the sum of its proper divisors (292340323200).

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

103830288000 is a wasteful number, since it uses less digits than its factorization.

103830288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 103830288000 in words is "one hundred three billion, eight hundred thirty million, two hundred eighty-eight thousand".