162102166100 has 144 divisors (see below), whose sum is σ = 409001322240. Its totient is φ = 54616934400.

The previous prime is 162102166097. The next prime is 162102166133. The reversal of 162102166100 is 1661201261.

It is a super-2 number, since 2×162102166100² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 162102166100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15749756 + ... + 15760044.

It is an arithmetic number, because the mean of its divisors is an integer number (2840286960).

Almost surely, 2^162102166100 is an apocalyptic number.

162102166100 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 162102166100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204500661120).

162102166100 is an abundant number, since it is smaller than the sum of its proper divisors (246899156140).

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

162102166100 is a wasteful number, since it uses less digits than its factorization.

162102166100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10698 (or 10691 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 162102166100 its reverse (1661201261), we get a palindrome (163763367361).

The spelling of 162102166100 in words is "one hundred sixty-two billion, one hundred two million, one hundred sixty-six thousand, one hundred".