104719743851520 has 1408 divisors, whose sum is σ = 395283152259072. Its totient is φ = 23170174156800.

The previous prime is 104719743851507. The next prime is 104719743851561. The reversal of 104719743851520 is 25158347917401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153323197099 + ... + 153323197781.

It is an arithmetic number, because the mean of its divisors is an integer number (280740875184).

Almost surely, 2^{104719743851520} is an apocalyptic number.

104719743851520 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 104719743851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197641576129536).

104719743851520 is an abundant number, since it is smaller than the sum of its proper divisors (290563408407552).

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

104719743851520 is a wasteful number, since it uses less digits than its factorization.

104719743851520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 104719743851520 in words is "one hundred four trillion, seven hundred nineteen billion, seven hundred forty-three million, eight hundred fifty-one thousand, five hundred twenty".