102067728 has 160 divisors (see below), whose sum is σ = 323979264. Its totient is φ = 27027456.

The previous prime is 102067723. The next prime is 102067729. The reversal of 102067728 is 827760201.

It is not an unprimeable number, because it can be changed into a prime (102067723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611101 + ... + 611267.

Almost surely, 2^102067728 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 102067728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161989632).

102067728 is an abundant number, since it is smaller than the sum of its proper divisors (221911536).

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

102067728 is a wasteful number, since it uses less digits than its factorization.

102067728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 102067728 is about 10102.8574175824. The cubic root of 102067728 is about 467.3362641641.

The spelling of 102067728 in words is "one hundred two million, sixty-seven thousand, seven hundred twenty-eight".