103093730200 has 144 divisors (see below), whose sum is σ = 261138375360. Its totient is φ = 37806048000.

The previous prime is 103093730161. The next prime is 103093730203. The reversal of 103093730200 is 2037390301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103093730203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2215170 + ... + 2261230.

It is an arithmetic number, because the mean of its divisors is an integer number (1813460940).

Almost surely, 2^103093730200 is an apocalyptic number.

103093730200 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 103093730200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130569187680).

103093730200 is an abundant number, since it is smaller than the sum of its proper divisors (158044645160).

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

103093730200 is a wasteful number, since it uses less digits than its factorization.

103093730200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46146 (or 46118 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 28.

The spelling of 103093730200 in words is "one hundred three billion, ninety-three million, seven hundred thirty thousand, two hundred".