168106800 has 120 divisors (see below), whose sum is σ = 555996160. Its totient is φ = 43372800.

The previous prime is 168106787. The next prime is 168106801. The reversal of 168106800 is 8601861.

168106800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (168106801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34941 + ... + 39459.

Almost surely, 2^168106800 is an apocalyptic number.

168106800 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 168106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277998080).

168106800 is an abundant number, since it is smaller than the sum of its proper divisors (387889360).

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

168106800 is a wasteful number, since it uses less digits than its factorization.

168106800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4571 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 168106800 is about 12965.6006416980. The cubic root of 168106800 is about 551.9017363420.

The spelling of 168106800 in words is "one hundred sixty-eight million, one hundred six thousand, eight hundred".