103142830500 has 288 divisors, whose sum is σ = 329801472000. Its totient is φ = 27133574400.

The previous prime is 103142830499. The next prime is 103142830507. The reversal of 103142830500 is 5038241301.

It is a happy number.

103142830500 is a `hidden beast` number, since 10 + 3 + 142 + 8 + 3 + 0 + 500 = 666.

It is not an unprimeable number, because it can be changed into a prime (103142830507) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215329261 + ... + 215329739.

It is an arithmetic number, because the mean of its divisors is an integer number (1145144000).

Almost surely, 2^103142830500 is an apocalyptic number.

103142830500 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 103142830500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164900736000).

103142830500 is an abundant number, since it is smaller than the sum of its proper divisors (226658641500).

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

103142830500 is a wasteful number, since it uses less digits than its factorization.

103142830500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 103142830500 in words is "one hundred three billion, one hundred forty-two million, eight hundred thirty thousand, five hundred".