103300029300 has 144 divisors (see below), whose sum is σ = 322368742080. Its totient is φ = 25388482560.

The previous prime is 103300029277. The next prime is 103300029317. The reversal of 103300029300 is 3920003301.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2550004 + ... + 2590196.

It is an arithmetic number, because the mean of its divisors is an integer number (2238671820).

Almost surely, 2^103300029300 is an apocalyptic number.

103300029300 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 103300029300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161184371040).

103300029300 is an abundant number, since it is smaller than the sum of its proper divisors (219068712780).

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

103300029300 is a wasteful number, since it uses less digits than its factorization.

103300029300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40882 (or 40875 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The spelling of 103300029300 in words is "one hundred three billion, three hundred million, twenty-nine thousand, three hundred".