162100 has 18 divisors (see below), whose sum is σ = 351974. Its totient is φ = 64800.

The previous prime is 162091. The next prime is 162109. The reversal of 162100 is 1261.

162100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (162091) and next prime (162109).

It can be written as a sum of positive squares in 3 ways, for example, as 23716 + 138384 = 154^2 + 372^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 711 + ... + 910.

2¹⁶²¹⁰⁰ is an apocalyptic number.

162100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162100 is an abundant number, since it is smaller than the sum of its proper divisors (189874).

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

162100 is a wasteful number, since it uses less digits than its factorization.

162100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1628 counting only the distinct ones).

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

The square root of 162100 is about 402.6164427839. The cubic root of 162100 is about 54.5248322716.

Adding to 162100 its reverse (1261), we get a palindrome (163361).

It can be divided in two parts, 162 and 100, that added together give a palindrome (262).

The spelling of 162100 in words is "one hundred sixty-two thousand, one hundred".