102966320160 has 288 divisors, whose sum is σ = 385863004800. Its totient is φ = 24795648000.

The previous prime is 102966320147. The next prime is 102966320173. The reversal of 102966320160 is 61023669201.

It is a happy number.

102966320160 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 6 + 632 + 0 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102966320147) and next prime (102966320173).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2370316 + ... + 2413364.

It is an arithmetic number, because the mean of its divisors is an integer number (1339802100).

Almost surely, 2^102966320160 is an apocalyptic number.

102966320160 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 102966320160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192931502400).

102966320160 is an abundant number, since it is smaller than the sum of its proper divisors (282896684640).

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

102966320160 is a wasteful number, since it uses less digits than its factorization.

102966320160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43232 (or 43221 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 102966320160 its reverse (61023669201), we get a palindrome (163989989361).

The spelling of 102966320160 in words is "one hundred two billion, nine hundred sixty-six million, three hundred twenty thousand, one hundred sixty".