162239784100 has 81 divisors (see below), whose sum is σ = 360130574083. Its totient is φ = 63441036160.

The previous prime is 162239784067. The next prime is 162239784127. The reversal of 162239784100 is 1487932261.

The square root of 162239784100 is 402790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21146394724 + 141093389376 = 145418^2 + 375624^2 .

It is a super-2 number, since 2×162239784100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 189310872 + ... + 189311728.

Almost surely, 2^162239784100 is an apocalyptic number.

162239784100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

162239784100 is the 402790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162239784100

162239784100 is an abundant number, since it is smaller than the sum of its proper divisors (197890789983).

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

162239784100 is an frugal number, since it uses more digits than its factorization.

162239784100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 162239784100 in words is "one hundred sixty-two billion, two hundred thirty-nine million, seven hundred eighty-four thousand, one hundred".