162106000 has 80 divisors (see below), whose sum is σ = 448007040. Its totient is φ = 55574400.

The previous prime is 162105989. The next prime is 162106003. The reversal of 162106000 is 601261.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (162106003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8211 + ... + 19789.

It is an arithmetic number, because the mean of its divisors is an integer number (5600088).

Almost surely, 2^162106000 is an apocalyptic number.

162106000 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 162106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224003520).

162106000 is an abundant number, since it is smaller than the sum of its proper divisors (285901040).

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

162106000 is a wasteful number, since it uses less digits than its factorization.

162106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11609 (or 11593 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 162106000 is about 12732.0854536875. The cubic root of 162106000 is about 545.2550499407.

Adding to 162106000 its reverse (601261), we get a palindrome (162707261).

The spelling of 162106000 in words is "one hundred sixty-two million, one hundred six thousand".