103391728 has 80 divisors (see below), whose sum is σ = 231413760. Its totient is φ = 44307200.

The previous prime is 103391719. The next prime is 103391741. The reversal of 103391728 is 827193301.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 103391693 and 103391702.

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, 239673 + ... + 240103.

It is an arithmetic number, because the mean of its divisors is an integer number (2892672).

Almost surely, 2^103391728 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 103391728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115706880).

103391728 is an abundant number, since it is smaller than the sum of its proper divisors (128022032).

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

103391728 is a wasteful number, since it uses less digits than its factorization.

103391728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 103391728 is about 10168.1723038115. The cubic root of 103391728 is about 469.3483166776.

The spelling of 103391728 in words is "one hundred three million, three hundred ninety-one thousand, seven hundred twenty-eight".