103830518857800 has 192 divisors, whose sum is σ = 377798768795520. Its totient is φ = 23091265935360.

The previous prime is 103830518857789. The next prime is 103830518857801. The reversal of 103830518857800 is 8758815038301.

It is a super-2 number, since 2×103830518857800² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103830518857801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333919629 + ... + 334230428.

It is an arithmetic number, because the mean of its divisors is an integer number (1967701920810).

Almost surely, 2^{103830518857800} is an apocalyptic number.

103830518857800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103830518857800 is an abundant number, since it is smaller than the sum of its proper divisors (273968249937720).

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

103830518857800 is a wasteful number, since it uses less digits than its factorization.

103830518857800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668150120 (or 668150111 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 57.

The spelling of 103830518857800 in words is "one hundred three trillion, eight hundred thirty billion, five hundred eighteen million, eight hundred fifty-seven thousand, eight hundred".