102082971824 has 40 divisors (see below), whose sum is σ = 201727579680. Its totient is φ = 50026249728.

The previous prime is 102082971779. The next prime is 102082971827. The reversal of 102082971824 is 428179280201.

It is a super-3 number, since 3×102082971824³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102082971827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757772 + ... + 882260.

It is an arithmetic number, because the mean of its divisors is an integer number (5043189492).

Almost surely, 2^102082971824 is an apocalyptic number.

It is an amenable number.

102082971824 is a deficient number, since it is larger than the sum of its proper divisors (99644607856).

102082971824 is a wasteful number, since it uses less digits than its factorization.

102082971824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125517 (or 125511 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The spelling of 102082971824 in words is "one hundred two billion, eighty-two million, nine hundred seventy-one thousand, eight hundred twenty-four".