103729199728 has 80 divisors (see below), whose sum is σ = 250672884480. Its totient is φ = 40396838400.

The previous prime is 103729199713. The next prime is 103729199731. The reversal of 103729199728 is 827991927301.

It is a super-2 number, since 2×103729199728² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3111468 + ... + 3144628.

It is an arithmetic number, because the mean of its divisors is an integer number (3133411056).

Almost surely, 2^103729199728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103729199728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125336442240).

103729199728 is an abundant number, since it is smaller than the sum of its proper divisors (146943684752).

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

103729199728 is a wasteful number, since it uses less digits than its factorization.

103729199728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35726 (or 35720 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 58.

The spelling of 103729199728 in words is "one hundred three billion, seven hundred twenty-nine million, one hundred ninety-nine thousand, seven hundred twenty-eight".