102165960960 has 1440 divisors, whose sum is σ = 455867596800. Its totient is φ = 21319925760.

The previous prime is 102165960893. The next prime is 102165960961. The reversal of 102165960960 is 69069561201.

It is a happy number.

102165960960 is a `hidden beast` number, since 10 + 21 + 6 + 5 + 9 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (102165960961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 427472521 + ... + 427472759.

It is an arithmetic number, because the mean of its divisors is an integer number (316574720).

Almost surely, 2^102165960960 is an apocalyptic number.

102165960960 is a gapful number since it is divisible by the number (10) 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 102165960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227933798400).

102165960960 is an abundant number, since it is smaller than the sum of its proper divisors (353701635840).

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

102165960960 is a wasteful number, since it uses less digits than its factorization.

102165960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 102165960960 in words is "one hundred two billion, one hundred sixty-five million, nine hundred sixty thousand, nine hundred sixty".