106168320000000 has 1000 divisors, whose sum is σ = 396491773162056. Its totient is φ = 28311552000000.

The previous prime is 106168319999993. The next prime is 106168320000013. The reversal of 106168320000000 is 23861601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

106168320000000 is a `hidden beast` number, since 10 + 616 + 8 + 32 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105025439268864 + 1142880731136 = 10248192^2 + 1069056^2 .

It is a tau number, because it is divible by the number of its divisors (1000).

It is a super-2 number, since 2×106168320000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21233663999998 + ... + 21233664000002.

Almost surely, 2^{106168320000000} is an apocalyptic number.

106168320000000 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 106168320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198245886581028).

106168320000000 is an abundant number, since it is smaller than the sum of its proper divisors (290323453162056).

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

106168320000000 is an frugal number, since it uses more digits than its factorization.

106168320000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 106168320000000 its reverse (23861601), we get a palindrome (106168343861601).

The spelling of 106168320000000 in words is "one hundred six trillion, one hundred sixty-eight billion, three hundred twenty million", and thus it is an aban number.