102727680 has 256 divisors, whose sum is σ = 377481600. Its totient is φ = 23592960.

The previous prime is 102727679. The next prime is 102727687. The reversal of 102727680 is 86727201.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102727687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5406711 + ... + 5406729.

Almost surely, 2^102727680 is an apocalyptic number.

102727680 is a gapful number since it is divisible by the number (10) 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 102727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188740800).

102727680 is an abundant number, since it is smaller than the sum of its proper divisors (274753920).

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

102727680 is an equidigital number, since it uses as much as digits as its factorization.

102727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

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

The square root of 102727680 is about 10135.4664421525. The cubic root of 102727680 is about 468.3413391178.

The spelling of 102727680 in words is "one hundred two million, seven hundred twenty-seven thousand, six hundred eighty".