103202749728 has 384 divisors, whose sum is σ = 344887683840. Its totient is φ = 29742612480.

The previous prime is 103202749723. The next prime is 103202749733. The reversal of 103202749728 is 827947202301.

It is an interprime number because it is at equal distance from previous prime (103202749723) and next prime (103202749733).

It is not an unprimeable number, because it can be changed into a prime (103202749723) 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 63 ways as a sum of consecutive naturals, for example, 43343098 + ... + 43345478.

It is an arithmetic number, because the mean of its divisors is an integer number (898145010).

Almost surely, 2^103202749728 is an apocalyptic number.

103202749728 is a gapful number since it is divisible by the number (18) 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 103202749728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172443841920).

103202749728 is an abundant number, since it is smaller than the sum of its proper divisors (241684934112).

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

103202749728 is a wasteful number, since it uses less digits than its factorization.

103202749728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 103202749728 in words is "one hundred three billion, two hundred two million, seven hundred forty-nine thousand, seven hundred twenty-eight".