104083151040 has 448 divisors, whose sum is σ = 410347607040. Its totient is φ = 24615936000.

The previous prime is 104083151009. The next prime is 104083151171. The reversal of 104083151040 is 40151380401.

It is a happy number.

104083151040 is a `hidden beast` number, since 104 + 0 + 8 + 3 + 1 + 510 + 40 = 666.

104083151040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 104083150995 and 104083151013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3883285 + ... + 3909995.

It is an arithmetic number, because the mean of its divisors is an integer number (915954480).

Almost surely, 2^104083151040 is an apocalyptic number.

104083151040 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 104083151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205173803520).

104083151040 is an abundant number, since it is smaller than the sum of its proper divisors (306264456000).

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

104083151040 is a wasteful number, since it uses less digits than its factorization.

104083151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26789 (or 26773 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 104083151040 in words is "one hundred four billion, eighty-three million, one hundred fifty-one thousand, forty".