102165893172 has 432 divisors, whose sum is σ = 321582381120. Its totient is φ = 27226450944.

The previous prime is 102165893131. The next prime is 102165893177. The reversal of 102165893172 is 271398561201.

102165893172 is a `hidden beast` number, since 10 + 21 + 6 + 589 + 31 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102165893177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 165584608 + ... + 165585224.

It is an arithmetic number, because the mean of its divisors is an integer number (744403660).

Almost surely, 2^102165893172 is an apocalyptic number.

102165893172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102165893172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160791190560).

102165893172 is an abundant number, since it is smaller than the sum of its proper divisors (219416487948).

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

102165893172 is a wasteful number, since it uses less digits than its factorization.

102165893172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 102165893172 in words is "one hundred two billion, one hundred sixty-five million, eight hundred ninety-three thousand, one hundred seventy-two".