104723432100 has 729 divisors, whose sum is σ = 405211816737. Its totient is φ = 22554322560.

The previous prime is 104723432087. The next prime is 104723432111. The reversal of 104723432100 is 1234327401.

104723432100 = 1³ + 2³ + ... + 804³.

It is a happy number.

The square root of 104723432100 is 323610.

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

104723432100 is a `hidden beast` number, since 104 + 7 + 2 + 343 + 210 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37700435556 + 67022996544 = 194166^2 + 258888^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1563036267 + ... + 1563036333.

Almost surely, 2^104723432100 is an apocalyptic number.

104723432100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104723432100 is the 323610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104723432100

104723432100 is an abundant number, since it is smaller than the sum of its proper divisors (300488384637).

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

104723432100 is a wasteful number, since it uses less digits than its factorization.

104723432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 104723432100 its reverse (1234327401), we get a palindrome (105957759501).

The spelling of 104723432100 in words is "one hundred four billion, seven hundred twenty-three million, four hundred thirty-two thousand, one hundred".