104081008040100 has 2187 divisors, whose sum is σ = 426566581794171. Its totient is φ = 21154887936000.

The previous prime is 104081008040089. The next prime is 104081008040117. The reversal of 104081008040100 is 1040800180401.

The square root of 104081008040100 is 10202010.

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

104081008040100 is a `hidden beast` number, since 10 + 408 + 100 + 8 + 0 + 40 + 100 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 79395691501476 + 24685316538624 = 8910426^2 + 4968432^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 1030505030050 + ... + 1030505030150.

Almost surely, 2^{104081008040100} is an apocalyptic number.

104081008040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104081008040100 is the 10202010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104081008040100

104081008040100 is an abundant number, since it is smaller than the sum of its proper divisors (322485573754071).

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

104081008040100 is a wasteful number, since it uses less digits than its factorization.

104081008040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 104081008040100 in words is "one hundred four trillion, eighty-one billion, eight million, forty thousand, one hundred".