104282195040 has 384 divisors, whose sum is σ = 394000588800. Its totient is φ = 25681582080.

The previous prime is 104282195023. The next prime is 104282195053. The reversal of 104282195040 is 40591282401.

104282195040 is a `hidden beast` number, since 1 + 0 + 428 + 2 + 195 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104282194986 and 104282195004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2863345 + ... + 2899535.

It is an arithmetic number, because the mean of its divisors is an integer number (1026043200).

Almost surely, 2^104282195040 is an apocalyptic number.

104282195040 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 104282195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197000294400).

104282195040 is an abundant number, since it is smaller than the sum of its proper divisors (289718393760).

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

104282195040 is a wasteful number, since it uses less digits than its factorization.

104282195040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36267 (or 36253 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 104282195040 in words is "one hundred four billion, two hundred eighty-two million, one hundred ninety-five thousand, forty".