102727942144 has 63 divisors (see below), whose sum is σ = 206114291733. Its totient is φ = 51199868928.

The previous prime is 102727942133. The next prime is 102727942151. The reversal of 102727942144 is 441249727201.

The square root of 102727942144 is 320512.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 655360000 + 102072582144 = 25600^2 + 319488^2 .

It is a super-2 number, since 2×102727942144² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102727942144.

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 2 ways as a sum of consecutive naturals, for example, 328204132 + ... + 328204444.

Almost surely, 2^102727942144 is an apocalyptic number.

102727942144 is the 320512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102727942144

102727942144 is an abundant number, since it is smaller than the sum of its proper divisors (103386349589).

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

102727942144 is an frugal number, since it uses more digits than its factorization.

102727942144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 102727942144 in words is "one hundred two billion, seven hundred twenty-seven million, nine hundred forty-two thousand, one hundred forty-four".