104114446020 has 288 divisors, whose sum is σ = 347010693120. Its totient is φ = 25112954880.

The previous prime is 104114446003. The next prime is 104114446103. The reversal of 104114446020 is 20644411401.

104114446020 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 14 + 44 + 602 + 0 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 25323765 + ... + 25327875.

It is an arithmetic number, because the mean of its divisors is an integer number (1204898240).

Almost surely, 2^104114446020 is an apocalyptic number.

104114446020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104114446020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173505346560).

104114446020 is an abundant number, since it is smaller than the sum of its proper divisors (242896247100).

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

104114446020 is a wasteful number, since it uses less digits than its factorization.

104114446020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 104114446020 its reverse (20644411401), we get a palindrome (124758857421).

The spelling of 104114446020 in words is "one hundred four billion, one hundred fourteen million, four hundred forty-six thousand, twenty".