102727128 has 64 divisors (see below), whose sum is σ = 299520000. Its totient is φ = 29348256.

The previous prime is 102727123. The next prime is 102727189. The reversal of 102727128 is 821727201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102727095 and 102727104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102727123) 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 15 ways as a sum of consecutive naturals, for example, 1993 + ... + 14471.

It is an arithmetic number, because the mean of its divisors is an integer number (4680000).

Almost surely, 2^102727128 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 102727128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149760000).

102727128 is an abundant number, since it is smaller than the sum of its proper divisors (196792872).

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

102727128 is a wasteful number, since it uses less digits than its factorization.

102727128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12509 (or 12491 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 102727128 is about 10135.4392110061. The cubic root of 102727128 is about 468.3405002499.

The spelling of 102727128 in words is "one hundred two million, seven hundred twenty-seven thousand, one hundred twenty-eight".