102727721 has 8 divisors (see below), whose sum is σ = 104592264. Its totient is φ = 100869120.

The previous prime is 102727687. The next prime is 102727739. The reversal of 102727721 is 127727201.

It can be written as a sum of positive squares in 4 ways, for example, as 8637721 + 94090000 = 2939^2 + 9700^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102727721 - 2¹⁴ = 102711337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102727741) 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 7 ways as a sum of consecutive naturals, for example, 47561 + ... + 49673.

It is an arithmetic number, because the mean of its divisors is an integer number (13074033).

Almost surely, 2^102727721 is an apocalyptic number.

It is an amenable number.

102727721 is a deficient number, since it is larger than the sum of its proper divisors (1864543).

102727721 is an equidigital number, since it uses as much as digits as its factorization.

102727721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971.

The product of its (nonzero) digits is 2744, while the sum is 29.

The square root of 102727721 is about 10135.4684647529. The cubic root of 102727721 is about 468.3414014249.

The spelling of 102727721 in words is "one hundred two million, seven hundred twenty-seven thousand, seven hundred twenty-one".