102709728 has 192 divisors, whose sum is σ = 333123840. Its totient is φ = 30528000.

The previous prime is 102709709. The next prime is 102709729. The reversal of 102709728 is 827907201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 102709692 and 102709701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102709729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 959851 + ... + 959957.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 2^102709728 is an apocalyptic number.

102709728 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 102709728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166561920).

102709728 is an abundant number, since it is smaller than the sum of its proper divisors (230414112).

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

102709728 is a wasteful number, since it uses less digits than its factorization.

102709728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 102709728 is about 10134.5808004081. The cubic root of 102709728 is about 468.3140561320.

The spelling of 102709728 in words is "one hundred two million, seven hundred nine thousand, seven hundred twenty-eight".