182131164100 has 18 divisors (see below), whose sum is σ = 395224626314. Its totient is φ = 72852465600.

The previous prime is 182131164053. The next prime is 182131164107. The reversal of 182131164100 is 1461131281.

182131164100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 45550657476 + 136580506624 = 213426^2 + 369568^2 .

It is a super-2 number, since 2×182131164100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (182131164107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 910655721 + ... + 910655920.

Almost surely, 2^182131164100 is an apocalyptic number.

182131164100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

182131164100 is an abundant number, since it is smaller than the sum of its proper divisors (213093462214).

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

182131164100 is a wasteful number, since it uses less digits than its factorization.

182131164100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821311655 (or 1821311648 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

Adding to 182131164100 its reverse (1461131281), we get a palindrome (183592295381).

The spelling of 182131164100 in words is "one hundred eighty-two billion, one hundred thirty-one million, one hundred sixty-four thousand, one hundred".