102272616 has 48 divisors (see below), whose sum is σ = 282225060. Its totient is φ = 33446400.

The previous prime is 102272593. The next prime is 102272623. The reversal of 102272616 is 616272201.

It can be written as a sum of positive squares in 2 ways, for example, as 102212100 + 60516 = 10110^2 + 246^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102272616.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9585 + ... + 17216.

Almost surely, 2^102272616 is an apocalyptic number.

It is an amenable number.

102272616 is an abundant number, since it is smaller than the sum of its proper divisors (179952444).

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

102272616 is a wasteful number, since it uses less digits than its factorization.

102272616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26866 (or 26859 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102272616 is about 10112.9924354763. The cubic root of 102272616 is about 467.6487612221.

The spelling of 102272616 in words is "one hundred two million, two hundred seventy-two thousand, six hundred sixteen".