102729320 has 16 divisors (see below), whose sum is σ = 231141060. Its totient is φ = 41091712.

The previous prime is 102729311. The next prime is 102729337. The reversal of 102729320 is 23927201.

It can be written as a sum of positive squares in 2 ways, for example, as 84971524 + 17757796 = 9218^2 + 4214^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102729320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1284077 + ... + 1284156.

Almost surely, 2^102729320 is an apocalyptic number.

102729320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102729320 is an abundant number, since it is smaller than the sum of its proper divisors (128411740).

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

102729320 is a wasteful number, since it uses less digits than its factorization.

102729320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568244 (or 2568240 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 102729320 is about 10135.5473458516. The cubic root of 102729320 is about 468.3438313890.

The spelling of 102729320 in words is "one hundred two million, seven hundred twenty-nine thousand, three hundred twenty".