102081972 has 24 divisors (see below), whose sum is σ = 246405600. Its totient is φ = 32853856.

The previous prime is 102081971. The next prime is 102081989. The reversal of 102081972 is 279180201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102081971) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 146322 + ... + 147017.

It is an arithmetic number, because the mean of its divisors is an integer number (10266900).

Almost surely, 2^102081972 is an apocalyptic number.

102081972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102081972 is an abundant number, since it is smaller than the sum of its proper divisors (144323628).

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

102081972 is a wasteful number, since it uses less digits than its factorization.

102081972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293375 (or 293373 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 102081972 is about 10103.5623420653. The cubic root of 102081972 is about 467.3580027628.

The spelling of 102081972 in words is "one hundred two million, eighty-one thousand, nine hundred seventy-two".