102727668 has 48 divisors (see below), whose sum is σ = 256314240. Its totient is φ = 31908864.

The previous prime is 102727663. The next prime is 102727679. The reversal of 102727668 is 866727201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102727663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18568 + ... + 23456.

It is an arithmetic number, because the mean of its divisors is an integer number (5339880).

Almost surely, 2^102727668 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 102727668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128157120).

102727668 is an abundant number, since it is smaller than the sum of its proper divisors (153586572).

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

102727668 is a wasteful number, since it uses less digits than its factorization.

102727668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 102727668 is about 10135.4658501719. The cubic root of 102727668 is about 468.3413208816.

The spelling of 102727668 in words is "one hundred two million, seven hundred twenty-seven thousand, six hundred sixty-eight".