102161865960 has 288 divisors, whose sum is σ = 421347420000. Its totient is φ = 21228399360.

The previous prime is 102161865929. The next prime is 102161865977. The reversal of 102161865960 is 69568161201.

102161865960 is a `hidden beast` number, since 1 + 0 + 21 + 618 + 6 + 5 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 69210 + ... + 457289.

It is an arithmetic number, because the mean of its divisors is an integer number (1463011875).

Almost surely, 2^102161865960 is an apocalyptic number.

102161865960 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 102161865960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210673710000).

102161865960 is an abundant number, since it is smaller than the sum of its proper divisors (319185554040).

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

102161865960 is a wasteful number, since it uses less digits than its factorization.

102161865960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526541 (or 526527 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 102161865960 in words is "one hundred two billion, one hundred sixty-one million, eight hundred sixty-five thousand, nine hundred sixty".