104971086000 has 1280 divisors, whose sum is σ = 441228902400. Its totient is φ = 23587200000.

The previous prime is 104971085987. The next prime is 104971086007. The reversal of 104971086000 is 680179401.

104971086000 is a `hidden beast` number, since 1 + 0 + 49 + 7 + 1 + 0 + 8 + 600 + 0 = 666.

It is a super-2 number, since 2×104971086000² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (104971086007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 801305935 + ... + 801306065.

It is an arithmetic number, because the mean of its divisors is an integer number (344710080).

Almost surely, 2^104971086000 is an apocalyptic number.

104971086000 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 104971086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220614451200).

104971086000 is an abundant number, since it is smaller than the sum of its proper divisors (336257816400).

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

104971086000 is a wasteful number, since it uses less digits than its factorization.

104971086000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 104971086000 in words is "one hundred four billion, nine hundred seventy-one million, eighty-six thousand".