104095971720 has 256 divisors, whose sum is σ = 374165568000. Its totient is φ = 25590187008.

The previous prime is 104095971713. The next prime is 104095971757. The reversal of 104095971720 is 27179590401.

104095971720 is a `hidden beast` number, since 1 + 0 + 40 + 9 + 597 + 17 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11775142 + ... + 11783978.

It is an arithmetic number, because the mean of its divisors is an integer number (1461584250).

Almost surely, 2^104095971720 is an apocalyptic number.

104095971720 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 104095971720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187082784000).

104095971720 is an abundant number, since it is smaller than the sum of its proper divisors (270069596280).

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

104095971720 is a wasteful number, since it uses less digits than its factorization.

104095971720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9709 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 104095971720 in words is "one hundred four billion, ninety-five million, nine hundred seventy-one thousand, seven hundred twenty".