162100000 has 72 divisors (see below), whose sum is σ = 399138516. Its totient is φ = 64800000.

The previous prime is 162099989. The next prime is 162100007. The reversal of 162100000 is 1261.

It can be written as a sum of positive squares in 6 ways, for example, as 7246864 + 154853136 = 2692^2 + 12444^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 162100000.

It is not an unprimeable number, because it can be changed into a prime (162100007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99190 + ... + 100810.

Almost surely, 2^162100000 is an apocalyptic number.

162100000 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 162100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199569258).

162100000 is an abundant number, since it is smaller than the sum of its proper divisors (237038516).

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

162100000 is an frugal number, since it uses more digits than its factorization.

162100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 162100000 is about 12731.8498263214. The cubic root of 162100000 is about 545.2483227156.

Adding to 162100000 its reverse (1261), we get a palindrome (162101261).

The spelling of 162100000 in words is "one hundred sixty-two million, one hundred thousand".